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Finding the Fourth Proportional to 871.85, 1,307.78 and 506.39

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Solution

The fourth proportional to 871.85, 1,307.78 and 506.39 is: 759.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.85 : 1,307.78 = 506.39 : x
  2. Step 2: Convert to fraction form
    871.85/1,307.78 = 506.39/x
  3. Step 3: Cross multiply
    871.85x = 1,307.78 × 506.39
  4. Step 4: Simplify right side
    871.85x = 662,237.64
  5. Step 5: Solve for x
    x = 662,237.64/871.85
  6. Step 6: Final answer
    x = 759.58

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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.