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Finding the Fourth Proportional to 758.52, 1,046.55 and 492.98

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Solution

The fourth proportional to 758.52, 1,046.55 and 492.98 is: 680.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.52 : 1,046.55 = 492.98 : x
  2. Step 2: Convert to fraction form
    758.52/1,046.55 = 492.98/x
  3. Step 3: Cross multiply
    758.52x = 1,046.55 × 492.98
  4. Step 4: Simplify right side
    758.52x = 515,922.99
  5. Step 5: Solve for x
    x = 515,922.99/758.52
  6. Step 6: Final answer
    x = 680.17

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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.