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Finding the Fourth Proportional to 932.55, 1,398.86 and 469.77

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Solution

The fourth proportional to 932.55, 1,398.86 and 469.77 is: 704.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.55 : 1,398.86 = 469.77 : x
  2. Step 2: Convert to fraction form
    932.55/1,398.86 = 469.77/x
  3. Step 3: Cross multiply
    932.55x = 1,398.86 × 469.77
  4. Step 4: Simplify right side
    932.55x = 657,149.75
  5. Step 5: Solve for x
    x = 657,149.75/932.55
  6. Step 6: Final answer
    x = 704.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.