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Finding the Fourth Proportional to 932.85, 1,398.89 and 405.79

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Solution

The fourth proportional to 932.85, 1,398.89 and 405.79 is: 608.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.85 : 1,398.89 = 405.79 : x
  2. Step 2: Convert to fraction form
    932.85/1,398.89 = 405.79/x
  3. Step 3: Cross multiply
    932.85x = 1,398.89 × 405.79
  4. Step 4: Simplify right side
    932.85x = 567,655.57
  5. Step 5: Solve for x
    x = 567,655.57/932.85
  6. Step 6: Final answer
    x = 608.52

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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.