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Finding the Fourth Proportional to 974.86, 1,460.86 and 487.24

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Solution

The fourth proportional to 974.86, 1,460.86 and 487.24 is: 730.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.86 : 1,460.86 = 487.24 : x
  2. Step 2: Convert to fraction form
    974.86/1,460.86 = 487.24/x
  3. Step 3: Cross multiply
    974.86x = 1,460.86 × 487.24
  4. Step 4: Simplify right side
    974.86x = 711,789.43
  5. Step 5: Solve for x
    x = 711,789.43/974.86
  6. Step 6: Final answer
    x = 730.15

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.