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Finding the Fourth Proportional to 758.66, 1,046.36 and 572.18

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Solution

The fourth proportional to 758.66, 1,046.36 and 572.18 is: 789.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.66 : 1,046.36 = 572.18 : x
  2. Step 2: Convert to fraction form
    758.66/1,046.36 = 572.18/x
  3. Step 3: Cross multiply
    758.66x = 1,046.36 × 572.18
  4. Step 4: Simplify right side
    758.66x = 598,702.46
  5. Step 5: Solve for x
    x = 598,702.46/758.66
  6. Step 6: Final answer
    x = 789.16

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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.