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Finding the Fourth Proportional to 1,102.32, 1,651.68 and 615.12

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Solution

The fourth proportional to 1,102.32, 1,651.68 and 615.12 is: 921.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.32 : 1,651.68 = 615.12 : x
  2. Step 2: Convert to fraction form
    1,102.32/1,651.68 = 615.12/x
  3. Step 3: Cross multiply
    1,102.32x = 1,651.68 × 615.12
  4. Step 4: Simplify right side
    1,102.32x = 1,015,981.40
  5. Step 5: Solve for x
    x = 1,015,981.40/1,102.32
  6. Step 6: Final answer
    x = 921.68

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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.