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Finding the Fourth Proportional to 871.54, 1,307.19 and 506.50

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Solution

The fourth proportional to 871.54, 1,307.19 and 506.50 is: 759.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.54 : 1,307.19 = 506.50 : x
  2. Step 2: Convert to fraction form
    871.54/1,307.19 = 506.50/x
  3. Step 3: Cross multiply
    871.54x = 1,307.19 × 506.50
  4. Step 4: Simplify right side
    871.54x = 662,091.74
  5. Step 5: Solve for x
    x = 662,091.74/871.54
  6. Step 6: Final answer
    x = 759.68

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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.