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Finding the Fourth Proportional to 1,113.42, 1,665.36 and 650.04

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Solution

The fourth proportional to 1,113.42, 1,665.36 and 650.04 is: 972.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.42 : 1,665.36 = 650.04 : x
  2. Step 2: Convert to fraction form
    1,113.42/1,665.36 = 650.04/x
  3. Step 3: Cross multiply
    1,113.42x = 1,665.36 × 650.04
  4. Step 4: Simplify right side
    1,113.42x = 1,082,550.61
  5. Step 5: Solve for x
    x = 1,082,550.61/1,113.42
  6. Step 6: Final answer
    x = 972.28

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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.