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Finding the Fourth Proportional to 1,155.78, 1,731.92 and 847.17

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Solution

The fourth proportional to 1,155.78, 1,731.92 and 847.17 is: 1,269.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.78 : 1,731.92 = 847.17 : x
  2. Step 2: Convert to fraction form
    1,155.78/1,731.92 = 847.17/x
  3. Step 3: Cross multiply
    1,155.78x = 1,731.92 × 847.17
  4. Step 4: Simplify right side
    1,155.78x = 1,467,226.43
  5. Step 5: Solve for x
    x = 1,467,226.43/1,155.78
  6. Step 6: Final answer
    x = 1,269.47

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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.