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Finding the Fourth Proportional to 827.57, 1,142.30 and 565.58

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Solution

The fourth proportional to 827.57, 1,142.30 and 565.58 is: 780.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.57 : 1,142.30 = 565.58 : x
  2. Step 2: Convert to fraction form
    827.57/1,142.30 = 565.58/x
  3. Step 3: Cross multiply
    827.57x = 1,142.30 × 565.58
  4. Step 4: Simplify right side
    827.57x = 646,062.03
  5. Step 5: Solve for x
    x = 646,062.03/827.57
  6. Step 6: Final answer
    x = 780.67

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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.