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Finding the Fourth Proportional to 1,052.19, 1,451.16 and 658.71

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Solution

The fourth proportional to 1,052.19, 1,451.16 and 658.71 is: 908.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.19 : 1,451.16 = 658.71 : x
  2. Step 2: Convert to fraction form
    1,052.19/1,451.16 = 658.71/x
  3. Step 3: Cross multiply
    1,052.19x = 1,451.16 × 658.71
  4. Step 4: Simplify right side
    1,052.19x = 955,893.60
  5. Step 5: Solve for x
    x = 955,893.60/1,052.19
  6. Step 6: Final answer
    x = 908.48

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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.