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Finding the Fourth Proportional to 1,144.98, 1,714.43 and 912.31

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Solution

The fourth proportional to 1,144.98, 1,714.43 and 912.31 is: 1,366.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.98 : 1,714.43 = 912.31 : x
  2. Step 2: Convert to fraction form
    1,144.98/1,714.43 = 912.31/x
  3. Step 3: Cross multiply
    1,144.98x = 1,714.43 × 912.31
  4. Step 4: Simplify right side
    1,144.98x = 1,564,082.79
  5. Step 5: Solve for x
    x = 1,564,082.79/1,144.98
  6. Step 6: Final answer
    x = 1,366.04

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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.