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Finding the Fourth Proportional to 1,162.71, 1,743.48 and 392.67

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Solution

The fourth proportional to 1,162.71, 1,743.48 and 392.67 is: 588.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.71 : 1,743.48 = 392.67 : x
  2. Step 2: Convert to fraction form
    1,162.71/1,743.48 = 392.67/x
  3. Step 3: Cross multiply
    1,162.71x = 1,743.48 × 392.67
  4. Step 4: Simplify right side
    1,162.71x = 684,612.29
  5. Step 5: Solve for x
    x = 684,612.29/1,162.71
  6. Step 6: Final answer
    x = 588.81

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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.