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Finding the Fourth Proportional to 1,154.73, 1,593.87 and 1,095.94

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Solution

The fourth proportional to 1,154.73, 1,593.87 and 1,095.94 is: 1,512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.73 : 1,593.87 = 1,095.94 : x
  2. Step 2: Convert to fraction form
    1,154.73/1,593.87 = 1,095.94/x
  3. Step 3: Cross multiply
    1,154.73x = 1,593.87 × 1,095.94
  4. Step 4: Simplify right side
    1,154.73x = 1,746,785.89
  5. Step 5: Solve for x
    x = 1,746,785.89/1,154.73
  6. Step 6: Final answer
    x = 1,512.72

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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.