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Finding the Fourth Proportional to 1,155.87, 1,593.68 and 844.83

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Solution

The fourth proportional to 1,155.87, 1,593.68 and 844.83 is: 1,164.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.87 : 1,593.68 = 844.83 : x
  2. Step 2: Convert to fraction form
    1,155.87/1,593.68 = 844.83/x
  3. Step 3: Cross multiply
    1,155.87x = 1,593.68 × 844.83
  4. Step 4: Simplify right side
    1,155.87x = 1,346,384.45
  5. Step 5: Solve for x
    x = 1,346,384.45/1,155.87
  6. Step 6: Final answer
    x = 1,164.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.