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Finding the Fourth Proportional to 1,714.04, 2,568.75 and 787.56

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Solution

The fourth proportional to 1,714.04, 2,568.75 and 787.56 is: 1,180.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.04 : 2,568.75 = 787.56 : x
  2. Step 2: Convert to fraction form
    1,714.04/2,568.75 = 787.56/x
  3. Step 3: Cross multiply
    1,714.04x = 2,568.75 × 787.56
  4. Step 4: Simplify right side
    1,714.04x = 2,023,032.16
  5. Step 5: Solve for x
    x = 2,023,032.16/1,714.04
  6. Step 6: Final answer
    x = 1,180.27

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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.