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Finding the Fourth Proportional to 1,332.32, 1,838.84 and 834.57

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Solution

The fourth proportional to 1,332.32, 1,838.84 and 834.57 is: 1,151.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.32 : 1,838.84 = 834.57 : x
  2. Step 2: Convert to fraction form
    1,332.32/1,838.84 = 834.57/x
  3. Step 3: Cross multiply
    1,332.32x = 1,838.84 × 834.57
  4. Step 4: Simplify right side
    1,332.32x = 1,534,636.53
  5. Step 5: Solve for x
    x = 1,534,636.53/1,332.32
  6. Step 6: Final answer
    x = 1,151.86

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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.