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Finding the Fourth Proportional to 862.63, 1,294.71 and 569.31

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Solution

The fourth proportional to 862.63, 1,294.71 and 569.31 is: 854.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.63 : 1,294.71 = 569.31 : x
  2. Step 2: Convert to fraction form
    862.63/1,294.71 = 569.31/x
  3. Step 3: Cross multiply
    862.63x = 1,294.71 × 569.31
  4. Step 4: Simplify right side
    862.63x = 737,091.35
  5. Step 5: Solve for x
    x = 737,091.35/862.63
  6. Step 6: Final answer
    x = 854.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.