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Finding the Fourth Proportional to 758.50, 1,046.33 and 509.39

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Solution

The fourth proportional to 758.50, 1,046.33 and 509.39 is: 702.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.50 : 1,046.33 = 509.39 : x
  2. Step 2: Convert to fraction form
    758.50/1,046.33 = 509.39/x
  3. Step 3: Cross multiply
    758.50x = 1,046.33 × 509.39
  4. Step 4: Simplify right side
    758.50x = 532,987.49
  5. Step 5: Solve for x
    x = 532,987.49/758.50
  6. Step 6: Final answer
    x = 702.69

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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.