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Finding the Fourth Proportional to 1,123.10, 1,682.60 and 959.08

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Solution

The fourth proportional to 1,123.10, 1,682.60 and 959.08 is: 1,436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.10 : 1,682.60 = 959.08 : x
  2. Step 2: Convert to fraction form
    1,123.10/1,682.60 = 959.08/x
  3. Step 3: Cross multiply
    1,123.10x = 1,682.60 × 959.08
  4. Step 4: Simplify right side
    1,123.10x = 1,613,748.01
  5. Step 5: Solve for x
    x = 1,613,748.01/1,123.10
  6. Step 6: Final answer
    x = 1,436.87

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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.