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Finding the Fourth Proportional to 1,154.46, 1,731.80 and 424.05

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Solution

The fourth proportional to 1,154.46, 1,731.80 and 424.05 is: 636.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.46 : 1,731.80 = 424.05 : x
  2. Step 2: Convert to fraction form
    1,154.46/1,731.80 = 424.05/x
  3. Step 3: Cross multiply
    1,154.46x = 1,731.80 × 424.05
  4. Step 4: Simplify right side
    1,154.46x = 734,369.79
  5. Step 5: Solve for x
    x = 734,369.79/1,154.46
  6. Step 6: Final answer
    x = 636.12

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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.