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Finding the Fourth Proportional to 1,505.12, 2,257.65 and 409.47

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Solution

The fourth proportional to 1,505.12, 2,257.65 and 409.47 is: 614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.12 : 2,257.65 = 409.47 : x
  2. Step 2: Convert to fraction form
    1,505.12/2,257.65 = 409.47/x
  3. Step 3: Cross multiply
    1,505.12x = 2,257.65 × 409.47
  4. Step 4: Simplify right side
    1,505.12x = 924,439.95
  5. Step 5: Solve for x
    x = 924,439.95/1,505.12
  6. Step 6: Final answer
    x = 614.20

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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.