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Finding the Fourth Proportional to 932.73, 1,287.53 and 834.31

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Solution

The fourth proportional to 932.73, 1,287.53 and 834.31 is: 1,151.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.73 : 1,287.53 = 834.31 : x
  2. Step 2: Convert to fraction form
    932.73/1,287.53 = 834.31/x
  3. Step 3: Cross multiply
    932.73x = 1,287.53 × 834.31
  4. Step 4: Simplify right side
    932.73x = 1,074,199.15
  5. Step 5: Solve for x
    x = 1,074,199.15/932.73
  6. Step 6: Final answer
    x = 1,151.67

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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.