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Finding the Fourth Proportional to 1,381.59, 2,072.16 and 457.11

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Solution

The fourth proportional to 1,381.59, 2,072.16 and 457.11 is: 685.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.59 : 2,072.16 = 457.11 : x
  2. Step 2: Convert to fraction form
    1,381.59/2,072.16 = 457.11/x
  3. Step 3: Cross multiply
    1,381.59x = 2,072.16 × 457.11
  4. Step 4: Simplify right side
    1,381.59x = 947,205.06
  5. Step 5: Solve for x
    x = 947,205.06/1,381.59
  6. Step 6: Final answer
    x = 685.59

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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.