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Finding the Fourth Proportional to 1,052.71, 1,452.70 and 610.67

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Solution

The fourth proportional to 1,052.71, 1,452.70 and 610.67 is: 842.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.71 : 1,452.70 = 610.67 : x
  2. Step 2: Convert to fraction form
    1,052.71/1,452.70 = 610.67/x
  3. Step 3: Cross multiply
    1,052.71x = 1,452.70 × 610.67
  4. Step 4: Simplify right side
    1,052.71x = 887,120.31
  5. Step 5: Solve for x
    x = 887,120.31/1,052.71
  6. Step 6: Final answer
    x = 842.70

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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.