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Finding the Fourth Proportional to 1,138.59, 1,700.13 and 998.73

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Solution

The fourth proportional to 1,138.59, 1,700.13 and 998.73 is: 1,491.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.59 : 1,700.13 = 998.73 : x
  2. Step 2: Convert to fraction form
    1,138.59/1,700.13 = 998.73/x
  3. Step 3: Cross multiply
    1,138.59x = 1,700.13 × 998.73
  4. Step 4: Simplify right side
    1,138.59x = 1,697,970.83
  5. Step 5: Solve for x
    x = 1,697,970.83/1,138.59
  6. Step 6: Final answer
    x = 1,491.29

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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.