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Finding the Fourth Proportional to 747.72, 1,031.94 and 453.06

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Solution

The fourth proportional to 747.72, 1,031.94 and 453.06 is: 625.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.72 : 1,031.94 = 453.06 : x
  2. Step 2: Convert to fraction form
    747.72/1,031.94 = 453.06/x
  3. Step 3: Cross multiply
    747.72x = 1,031.94 × 453.06
  4. Step 4: Simplify right side
    747.72x = 467,530.74
  5. Step 5: Solve for x
    x = 467,530.74/747.72
  6. Step 6: Final answer
    x = 625.28

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