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Finding the Fourth Proportional to 747.84, 1,032.05 and 453.13

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Solution

The fourth proportional to 747.84, 1,032.05 and 453.13 is: 625.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.84 : 1,032.05 = 453.13 : x
  2. Step 2: Convert to fraction form
    747.84/1,032.05 = 453.13/x
  3. Step 3: Cross multiply
    747.84x = 1,032.05 × 453.13
  4. Step 4: Simplify right side
    747.84x = 467,654.39
  5. Step 5: Solve for x
    x = 467,654.39/747.84
  6. Step 6: Final answer
    x = 625.34

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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.