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Finding the Fourth Proportional to 839.04, 1,156.80 and 827.52

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Solution

The fourth proportional to 839.04, 1,156.80 and 827.52 is: 1,140.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.04 : 1,156.80 = 827.52 : x
  2. Step 2: Convert to fraction form
    839.04/1,156.80 = 827.52/x
  3. Step 3: Cross multiply
    839.04x = 1,156.80 × 827.52
  4. Step 4: Simplify right side
    839.04x = 957,275.14
  5. Step 5: Solve for x
    x = 957,275.14/839.04
  6. Step 6: Final answer
    x = 1,140.92

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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.