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Finding the Fourth Proportional to 1,138.59, 1,706.82 and 1,037.15

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Solution

The fourth proportional to 1,138.59, 1,706.82 and 1,037.15 is: 1,554.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.59 : 1,706.82 = 1,037.15 : x
  2. Step 2: Convert to fraction form
    1,138.59/1,706.82 = 1,037.15/x
  3. Step 3: Cross multiply
    1,138.59x = 1,706.82 × 1,037.15
  4. Step 4: Simplify right side
    1,138.59x = 1,770,228.36
  5. Step 5: Solve for x
    x = 1,770,228.36/1,138.59
  6. Step 6: Final answer
    x = 1,554.75

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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.