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Finding the Fourth Proportional to 1,157.87, 1,734.05 and 895.43

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Solution

The fourth proportional to 1,157.87, 1,734.05 and 895.43 is: 1,341.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.87 : 1,734.05 = 895.43 : x
  2. Step 2: Convert to fraction form
    1,157.87/1,734.05 = 895.43/x
  3. Step 3: Cross multiply
    1,157.87x = 1,734.05 × 895.43
  4. Step 4: Simplify right side
    1,157.87x = 1,552,726.97
  5. Step 5: Solve for x
    x = 1,552,726.97/1,157.87
  6. Step 6: Final answer
    x = 1,341.02

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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.