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Finding the Fourth Proportional to 758.50, 1,046.82 and 497.10

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Solution

The fourth proportional to 758.50, 1,046.82 and 497.10 is: 686.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.50 : 1,046.82 = 497.10 : x
  2. Step 2: Convert to fraction form
    758.50/1,046.82 = 497.10/x
  3. Step 3: Cross multiply
    758.50x = 1,046.82 × 497.10
  4. Step 4: Simplify right side
    758.50x = 520,374.22
  5. Step 5: Solve for x
    x = 520,374.22/758.50
  6. Step 6: Final answer
    x = 686.06

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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.