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Finding the Fourth Proportional to 1,013.39, 1,518.46 and 916.19

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Solution

The fourth proportional to 1,013.39, 1,518.46 and 916.19 is: 1,372.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.39 : 1,518.46 = 916.19 : x
  2. Step 2: Convert to fraction form
    1,013.39/1,518.46 = 916.19/x
  3. Step 3: Cross multiply
    1,013.39x = 1,518.46 × 916.19
  4. Step 4: Simplify right side
    1,013.39x = 1,391,187.98
  5. Step 5: Solve for x
    x = 1,391,187.98/1,013.39
  6. Step 6: Final answer
    x = 1,372.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.