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Finding the Fourth Proportional to 1,156.74, 1,733.36 and 862.85

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Solution

The fourth proportional to 1,156.74, 1,733.36 and 862.85 is: 1,292.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.74 : 1,733.36 = 862.85 : x
  2. Step 2: Convert to fraction form
    1,156.74/1,733.36 = 862.85/x
  3. Step 3: Cross multiply
    1,156.74x = 1,733.36 × 862.85
  4. Step 4: Simplify right side
    1,156.74x = 1,495,629.68
  5. Step 5: Solve for x
    x = 1,495,629.68/1,156.74
  6. Step 6: Final answer
    x = 1,292.97

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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.