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Finding the Fourth Proportional to 1,120.70, 1,681.12 and 634.16

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Solution

The fourth proportional to 1,120.70, 1,681.12 and 634.16 is: 951.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.70 : 1,681.12 = 634.16 : x
  2. Step 2: Convert to fraction form
    1,120.70/1,681.12 = 634.16/x
  3. Step 3: Cross multiply
    1,120.70x = 1,681.12 × 634.16
  4. Step 4: Simplify right side
    1,120.70x = 1,066,104.05
  5. Step 5: Solve for x
    x = 1,066,104.05/1,120.70
  6. Step 6: Final answer
    x = 951.28

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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.