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Finding the Fourth Proportional to 1,150.35, 1,718.78 and 852.58

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Solution

The fourth proportional to 1,150.35, 1,718.78 and 852.58 is: 1,273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.35 : 1,718.78 = 852.58 : x
  2. Step 2: Convert to fraction form
    1,150.35/1,718.78 = 852.58/x
  3. Step 3: Cross multiply
    1,150.35x = 1,718.78 × 852.58
  4. Step 4: Simplify right side
    1,150.35x = 1,465,397.45
  5. Step 5: Solve for x
    x = 1,465,397.45/1,150.35
  6. Step 6: Final answer
    x = 1,273.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.