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Finding the Fourth Proportional to 758.61, 1,046.10 and 522.76

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Solution

The fourth proportional to 758.61, 1,046.10 and 522.76 is: 720.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.61 : 1,046.10 = 522.76 : x
  2. Step 2: Convert to fraction form
    758.61/1,046.10 = 522.76/x
  3. Step 3: Cross multiply
    758.61x = 1,046.10 × 522.76
  4. Step 4: Simplify right side
    758.61x = 546,859.24
  5. Step 5: Solve for x
    x = 546,859.24/758.61
  6. Step 6: Final answer
    x = 720.87

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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.