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Finding the Fourth Proportional to 757.25, 1,045.51 and 509.14

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Solution

The fourth proportional to 757.25, 1,045.51 and 509.14 is: 702.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.25 : 1,045.51 = 509.14 : x
  2. Step 2: Convert to fraction form
    757.25/1,045.51 = 509.14/x
  3. Step 3: Cross multiply
    757.25x = 1,045.51 × 509.14
  4. Step 4: Simplify right side
    757.25x = 532,305.11
  5. Step 5: Solve for x
    x = 532,305.11/757.25
  6. Step 6: Final answer
    x = 702.95

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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.