Home / 1,332.18-1,838.30-827.89

Finding the Fourth Proportional to 1,332.18, 1,838.30 and 827.89

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Solution

The fourth proportional to 1,332.18, 1,838.30 and 827.89 is: 1,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.18 : 1,838.30 = 827.89 : x
  2. Step 2: Convert to fraction form
    1,332.18/1,838.30 = 827.89/x
  3. Step 3: Cross multiply
    1,332.18x = 1,838.30 × 827.89
  4. Step 4: Simplify right side
    1,332.18x = 1,521,901.45
  5. Step 5: Solve for x
    x = 1,521,901.45/1,332.18
  6. Step 6: Final answer
    x = 1,142.41

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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.