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Finding the Fourth Proportional to 1,031.68, 1,423.91 and 658.78

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Solution

The fourth proportional to 1,031.68, 1,423.91 and 658.78 is: 909.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.68 : 1,423.91 = 658.78 : x
  2. Step 2: Convert to fraction form
    1,031.68/1,423.91 = 658.78/x
  3. Step 3: Cross multiply
    1,031.68x = 1,423.91 × 658.78
  4. Step 4: Simplify right side
    1,031.68x = 938,033.02
  5. Step 5: Solve for x
    x = 938,033.02/1,031.68
  6. Step 6: Final answer
    x = 909.23

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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.