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Finding the Fourth Proportional to 871.98, 1,307.82 and 344.76

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Solution

The fourth proportional to 871.98, 1,307.82 and 344.76 is: 517.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.98 : 1,307.82 = 344.76 : x
  2. Step 2: Convert to fraction form
    871.98/1,307.82 = 344.76/x
  3. Step 3: Cross multiply
    871.98x = 1,307.82 × 344.76
  4. Step 4: Simplify right side
    871.98x = 450,884.02
  5. Step 5: Solve for x
    x = 450,884.02/871.98
  6. Step 6: Final answer
    x = 517.08

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