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Finding the Fourth Proportional to 1,505.20, 2,258.15 and 627.86

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Solution

The fourth proportional to 1,505.20, 2,258.15 and 627.86 is: 941.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.20 : 2,258.15 = 627.86 : x
  2. Step 2: Convert to fraction form
    1,505.20/2,258.15 = 627.86/x
  3. Step 3: Cross multiply
    1,505.20x = 2,258.15 × 627.86
  4. Step 4: Simplify right side
    1,505.20x = 1,417,787.63
  5. Step 5: Solve for x
    x = 1,417,787.63/1,505.20
  6. Step 6: Final answer
    x = 941.93

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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.