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Finding the Fourth Proportional to 759.78, 1,049.01 and 498.24

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Solution

The fourth proportional to 759.78, 1,049.01 and 498.24 is: 687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.78 : 1,049.01 = 498.24 : x
  2. Step 2: Convert to fraction form
    759.78/1,049.01 = 498.24/x
  3. Step 3: Cross multiply
    759.78x = 1,049.01 × 498.24
  4. Step 4: Simplify right side
    759.78x = 522,658.74
  5. Step 5: Solve for x
    x = 522,658.74/759.78
  6. Step 6: Final answer
    x = 687.91

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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.