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Finding the Fourth Proportional to 1,013.19, 1,513.88 and 748.53

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Solution

The fourth proportional to 1,013.19, 1,513.88 and 748.53 is: 1,118.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.19 : 1,513.88 = 748.53 : x
  2. Step 2: Convert to fraction form
    1,013.19/1,513.88 = 748.53/x
  3. Step 3: Cross multiply
    1,013.19x = 1,513.88 × 748.53
  4. Step 4: Simplify right side
    1,013.19x = 1,133,180.85
  5. Step 5: Solve for x
    x = 1,133,180.85/1,013.19
  6. Step 6: Final answer
    x = 1,118.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.