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Finding the Fourth Proportional to 1,385.53, 1,912.06 and 788.12

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Solution

The fourth proportional to 1,385.53, 1,912.06 and 788.12 is: 1,087.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.53 : 1,912.06 = 788.12 : x
  2. Step 2: Convert to fraction form
    1,385.53/1,912.06 = 788.12/x
  3. Step 3: Cross multiply
    1,385.53x = 1,912.06 × 788.12
  4. Step 4: Simplify right side
    1,385.53x = 1,506,921.20
  5. Step 5: Solve for x
    x = 1,506,921.20/1,385.53
  6. Step 6: Final answer
    x = 1,087.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.