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Finding the Fourth Proportional to 1,124.11, 1,685.97 and 302.20

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Solution

The fourth proportional to 1,124.11, 1,685.97 and 302.20 is: 453.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.11 : 1,685.97 = 302.20 : x
  2. Step 2: Convert to fraction form
    1,124.11/1,685.97 = 302.20/x
  3. Step 3: Cross multiply
    1,124.11x = 1,685.97 × 302.20
  4. Step 4: Simplify right side
    1,124.11x = 509,490.57
  5. Step 5: Solve for x
    x = 509,490.57/1,124.11
  6. Step 6: Final answer
    x = 453.24

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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.