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Finding the Fourth Proportional to 702.04, 966.61 and 596.91

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Solution

The fourth proportional to 702.04, 966.61 and 596.91 is: 821.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.04 : 966.61 = 596.91 : x
  2. Step 2: Convert to fraction form
    702.04/966.61 = 596.91/x
  3. Step 3: Cross multiply
    702.04x = 966.61 × 596.91
  4. Step 4: Simplify right side
    702.04x = 576,979.18
  5. Step 5: Solve for x
    x = 576,979.18/702.04
  6. Step 6: Final answer
    x = 821.86

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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.