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Finding the Fourth Proportional to 1,082.52, 1,490.94 and 916.20

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Solution

The fourth proportional to 1,082.52, 1,490.94 and 916.20 is: 1,261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.52 : 1,490.94 = 916.20 : x
  2. Step 2: Convert to fraction form
    1,082.52/1,490.94 = 916.20/x
  3. Step 3: Cross multiply
    1,082.52x = 1,490.94 × 916.20
  4. Step 4: Simplify right side
    1,082.52x = 1,365,999.23
  5. Step 5: Solve for x
    x = 1,365,999.23/1,082.52
  6. Step 6: Final answer
    x = 1,261.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.