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Finding the Fourth Proportional to 953.71, 1,316.15 and 560.66

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Solution

The fourth proportional to 953.71, 1,316.15 and 560.66 is: 773.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.71 : 1,316.15 = 560.66 : x
  2. Step 2: Convert to fraction form
    953.71/1,316.15 = 560.66/x
  3. Step 3: Cross multiply
    953.71x = 1,316.15 × 560.66
  4. Step 4: Simplify right side
    953.71x = 737,905.38
  5. Step 5: Solve for x
    x = 737,905.38/953.71
  6. Step 6: Final answer
    x = 773.72

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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.