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Finding the Fourth Proportional to 1,124.38, 1,551.84 and 658.63

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Solution

The fourth proportional to 1,124.38, 1,551.84 and 658.63 is: 909.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.38 : 1,551.84 = 658.63 : x
  2. Step 2: Convert to fraction form
    1,124.38/1,551.84 = 658.63/x
  3. Step 3: Cross multiply
    1,124.38x = 1,551.84 × 658.63
  4. Step 4: Simplify right side
    1,124.38x = 1,022,080.62
  5. Step 5: Solve for x
    x = 1,022,080.62/1,124.38
  6. Step 6: Final answer
    x = 909.02

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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.