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Finding the Fourth Proportional to 1,120.64, 1,544.46 and 934.16

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Solution

The fourth proportional to 1,120.64, 1,544.46 and 934.16 is: 1,287.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.64 : 1,544.46 = 934.16 : x
  2. Step 2: Convert to fraction form
    1,120.64/1,544.46 = 934.16/x
  3. Step 3: Cross multiply
    1,120.64x = 1,544.46 × 934.16
  4. Step 4: Simplify right side
    1,120.64x = 1,442,772.75
  5. Step 5: Solve for x
    x = 1,442,772.75/1,120.64
  6. Step 6: Final answer
    x = 1,287.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.