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Finding the Fourth Proportional to 827.58, 1,142.55 and 547.74

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Solution

The fourth proportional to 827.58, 1,142.55 and 547.74 is: 756.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.58 : 1,142.55 = 547.74 : x
  2. Step 2: Convert to fraction form
    827.58/1,142.55 = 547.74/x
  3. Step 3: Cross multiply
    827.58x = 1,142.55 × 547.74
  4. Step 4: Simplify right side
    827.58x = 625,820.34
  5. Step 5: Solve for x
    x = 625,820.34/827.58
  6. Step 6: Final answer
    x = 756.21

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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.