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Finding the Fourth Proportional to 988.32, 1,475.40 and 923.04

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Solution

The fourth proportional to 988.32, 1,475.40 and 923.04 is: 1,377.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.32 : 1,475.40 = 923.04 : x
  2. Step 2: Convert to fraction form
    988.32/1,475.40 = 923.04/x
  3. Step 3: Cross multiply
    988.32x = 1,475.40 × 923.04
  4. Step 4: Simplify right side
    988.32x = 1,361,853.22
  5. Step 5: Solve for x
    x = 1,361,853.22/988.32
  6. Step 6: Final answer
    x = 1,377.95

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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.