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Finding the Fourth Proportional to 975.11, 1,461.24 and 487.49

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Solution

The fourth proportional to 975.11, 1,461.24 and 487.49 is: 730.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.11 : 1,461.24 = 487.49 : x
  2. Step 2: Convert to fraction form
    975.11/1,461.24 = 487.49/x
  3. Step 3: Cross multiply
    975.11x = 1,461.24 × 487.49
  4. Step 4: Simplify right side
    975.11x = 712,332.58
  5. Step 5: Solve for x
    x = 712,332.58/975.11
  6. Step 6: Final answer
    x = 730.52

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.