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Finding the Fourth Proportional to 1,445.04, 2,166.16 and 787.16

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Solution

The fourth proportional to 1,445.04, 2,166.16 and 787.16 is: 1,179.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.04 : 2,166.16 = 787.16 : x
  2. Step 2: Convert to fraction form
    1,445.04/2,166.16 = 787.16/x
  3. Step 3: Cross multiply
    1,445.04x = 2,166.16 × 787.16
  4. Step 4: Simplify right side
    1,445.04x = 1,705,114.51
  5. Step 5: Solve for x
    x = 1,705,114.51/1,445.04
  6. Step 6: Final answer
    x = 1,179.98

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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.