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Finding the Fourth Proportional to 871.35, 1,307.02 and 505.88

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Solution

The fourth proportional to 871.35, 1,307.02 and 505.88 is: 758.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.35 : 1,307.02 = 505.88 : x
  2. Step 2: Convert to fraction form
    871.35/1,307.02 = 505.88/x
  3. Step 3: Cross multiply
    871.35x = 1,307.02 × 505.88
  4. Step 4: Simplify right side
    871.35x = 661,195.28
  5. Step 5: Solve for x
    x = 661,195.28/871.35
  6. Step 6: Final answer
    x = 758.82

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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.