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Finding the Fourth Proportional to 827.06, 1,141.04 and 472.71

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Solution

The fourth proportional to 827.06, 1,141.04 and 472.71 is: 652.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.06 : 1,141.04 = 472.71 : x
  2. Step 2: Convert to fraction form
    827.06/1,141.04 = 472.71/x
  3. Step 3: Cross multiply
    827.06x = 1,141.04 × 472.71
  4. Step 4: Simplify right side
    827.06x = 539,378.65
  5. Step 5: Solve for x
    x = 539,378.65/827.06
  6. Step 6: Final answer
    x = 652.17

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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.