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Finding the Fourth Proportional to 1,154.40, 1,732.22 and 537.96

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Solution

The fourth proportional to 1,154.40, 1,732.22 and 537.96 is: 807.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.40 : 1,732.22 = 537.96 : x
  2. Step 2: Convert to fraction form
    1,154.40/1,732.22 = 537.96/x
  3. Step 3: Cross multiply
    1,154.40x = 1,732.22 × 537.96
  4. Step 4: Simplify right side
    1,154.40x = 931,857.75
  5. Step 5: Solve for x
    x = 931,857.75/1,154.40
  6. Step 6: Final answer
    x = 807.22

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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.