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Finding the Fourth Proportional to 747.81, 1,032.35 and 573.93

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Solution

The fourth proportional to 747.81, 1,032.35 and 573.93 is: 792.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.81 : 1,032.35 = 573.93 : x
  2. Step 2: Convert to fraction form
    747.81/1,032.35 = 573.93/x
  3. Step 3: Cross multiply
    747.81x = 1,032.35 × 573.93
  4. Step 4: Simplify right side
    747.81x = 592,493.77
  5. Step 5: Solve for x
    x = 592,493.77/747.81
  6. Step 6: Final answer
    x = 792.31

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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.