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Finding the Fourth Proportional to 1,275.85, 1,912.74 and 787.87

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Solution

The fourth proportional to 1,275.85, 1,912.74 and 787.87 is: 1,181.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.85 : 1,912.74 = 787.87 : x
  2. Step 2: Convert to fraction form
    1,275.85/1,912.74 = 787.87/x
  3. Step 3: Cross multiply
    1,275.85x = 1,912.74 × 787.87
  4. Step 4: Simplify right side
    1,275.85x = 1,506,990.46
  5. Step 5: Solve for x
    x = 1,506,990.46/1,275.85
  6. Step 6: Final answer
    x = 1,181.17

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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.