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Finding the Fourth Proportional to 1,037.80, 1,548.59 and 1,013.10

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Solution

The fourth proportional to 1,037.80, 1,548.59 and 1,013.10 is: 1,511.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.80 : 1,548.59 = 1,013.10 : x
  2. Step 2: Convert to fraction form
    1,037.80/1,548.59 = 1,013.10/x
  3. Step 3: Cross multiply
    1,037.80x = 1,548.59 × 1,013.10
  4. Step 4: Simplify right side
    1,037.80x = 1,568,876.53
  5. Step 5: Solve for x
    x = 1,568,876.53/1,037.80
  6. Step 6: Final answer
    x = 1,511.73

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Why These Related Problems?

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