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Finding the Fourth Proportional to 808.31, 1,115.57 and 477.02

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Solution

The fourth proportional to 808.31, 1,115.57 and 477.02 is: 658.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.31 : 1,115.57 = 477.02 : x
  2. Step 2: Convert to fraction form
    808.31/1,115.57 = 477.02/x
  3. Step 3: Cross multiply
    808.31x = 1,115.57 × 477.02
  4. Step 4: Simplify right side
    808.31x = 532,153.18
  5. Step 5: Solve for x
    x = 532,153.18/808.31
  6. Step 6: Final answer
    x = 658.35

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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.