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Finding the Fourth Proportional to 871.79, 1,307.03 and 501.98

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Solution

The fourth proportional to 871.79, 1,307.03 and 501.98 is: 752.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.79 : 1,307.03 = 501.98 : x
  2. Step 2: Convert to fraction form
    871.79/1,307.03 = 501.98/x
  3. Step 3: Cross multiply
    871.79x = 1,307.03 × 501.98
  4. Step 4: Simplify right side
    871.79x = 656,093.87
  5. Step 5: Solve for x
    x = 656,093.87/871.79
  6. Step 6: Final answer
    x = 752.59

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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.