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Finding the Fourth Proportional to 1,172.49, 1,617.31 and 752.70

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Solution

The fourth proportional to 1,172.49, 1,617.31 and 752.70 is: 1,038.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.49 : 1,617.31 = 752.70 : x
  2. Step 2: Convert to fraction form
    1,172.49/1,617.31 = 752.70/x
  3. Step 3: Cross multiply
    1,172.49x = 1,617.31 × 752.70
  4. Step 4: Simplify right side
    1,172.49x = 1,217,349.24
  5. Step 5: Solve for x
    x = 1,217,349.24/1,172.49
  6. Step 6: Final answer
    x = 1,038.26

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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.