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Finding the Fourth Proportional to 1,330.32, 1,985.97 and 1,123.44

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Solution

The fourth proportional to 1,330.32, 1,985.97 and 1,123.44 is: 1,677.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.32 : 1,985.97 = 1,123.44 : x
  2. Step 2: Convert to fraction form
    1,330.32/1,985.97 = 1,123.44/x
  3. Step 3: Cross multiply
    1,330.32x = 1,985.97 × 1,123.44
  4. Step 4: Simplify right side
    1,330.32x = 2,231,118.14
  5. Step 5: Solve for x
    x = 2,231,118.14/1,330.32
  6. Step 6: Final answer
    x = 1,677.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.