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Finding the Fourth Proportional to 1,445.75, 2,166.35 and 787.07

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Solution

The fourth proportional to 1,445.75, 2,166.35 and 787.07 is: 1,179.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.75 : 2,166.35 = 787.07 : x
  2. Step 2: Convert to fraction form
    1,445.75/2,166.35 = 787.07/x
  3. Step 3: Cross multiply
    1,445.75x = 2,166.35 × 787.07
  4. Step 4: Simplify right side
    1,445.75x = 1,705,058.39
  5. Step 5: Solve for x
    x = 1,705,058.39/1,445.75
  6. Step 6: Final answer
    x = 1,179.36

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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.