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Finding the Fourth Proportional to 657.72, 906.12 and 547.02

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Solution

The fourth proportional to 657.72, 906.12 and 547.02 is: 753.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.72 : 906.12 = 547.02 : x
  2. Step 2: Convert to fraction form
    657.72/906.12 = 547.02/x
  3. Step 3: Cross multiply
    657.72x = 906.12 × 547.02
  4. Step 4: Simplify right side
    657.72x = 495,665.76
  5. Step 5: Solve for x
    x = 495,665.76/657.72
  6. Step 6: Final answer
    x = 753.61

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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.