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Finding the Fourth Proportional to 1,124.02, 1,686.27 and 344.13

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Solution

The fourth proportional to 1,124.02, 1,686.27 and 344.13 is: 516.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.02 : 1,686.27 = 344.13 : x
  2. Step 2: Convert to fraction form
    1,124.02/1,686.27 = 344.13/x
  3. Step 3: Cross multiply
    1,124.02x = 1,686.27 × 344.13
  4. Step 4: Simplify right side
    1,124.02x = 580,291.06
  5. Step 5: Solve for x
    x = 580,291.06/1,124.02
  6. Step 6: Final answer
    x = 516.27

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