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Finding the Fourth Proportional to 1,124.67, 1,687.02 and 394.08

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Solution

The fourth proportional to 1,124.67, 1,687.02 and 394.08 is: 591.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.67 : 1,687.02 = 394.08 : x
  2. Step 2: Convert to fraction form
    1,124.67/1,687.02 = 394.08/x
  3. Step 3: Cross multiply
    1,124.67x = 1,687.02 × 394.08
  4. Step 4: Simplify right side
    1,124.67x = 664,820.84
  5. Step 5: Solve for x
    x = 664,820.84/1,124.67
  6. Step 6: Final answer
    x = 591.13

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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.