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Finding the Fourth Proportional to 1,124.33, 1,686.49 and 393.89

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Solution

The fourth proportional to 1,124.33, 1,686.49 and 393.89 is: 590.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.33 : 1,686.49 = 393.89 : x
  2. Step 2: Convert to fraction form
    1,124.33/1,686.49 = 393.89/x
  3. Step 3: Cross multiply
    1,124.33x = 1,686.49 × 393.89
  4. Step 4: Simplify right side
    1,124.33x = 664,282.13
  5. Step 5: Solve for x
    x = 664,282.13/1,124.33
  6. Step 6: Final answer
    x = 590.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.