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Finding the Fourth Proportional to 940.92, 1,298.52 and 537.15

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Solution

The fourth proportional to 940.92, 1,298.52 and 537.15 is: 741.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.92 : 1,298.52 = 537.15 : x
  2. Step 2: Convert to fraction form
    940.92/1,298.52 = 537.15/x
  3. Step 3: Cross multiply
    940.92x = 1,298.52 × 537.15
  4. Step 4: Simplify right side
    940.92x = 697,500.02
  5. Step 5: Solve for x
    x = 697,500.02/940.92
  6. Step 6: Final answer
    x = 741.30

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.