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Finding the Fourth Proportional to 827.64, 1,142.10 and 565.72

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Solution

The fourth proportional to 827.64, 1,142.10 and 565.72 is: 780.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.64 : 1,142.10 = 565.72 : x
  2. Step 2: Convert to fraction form
    827.64/1,142.10 = 565.72/x
  3. Step 3: Cross multiply
    827.64x = 1,142.10 × 565.72
  4. Step 4: Simplify right side
    827.64x = 646,108.81
  5. Step 5: Solve for x
    x = 646,108.81/827.64
  6. Step 6: Final answer
    x = 780.66

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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.