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Finding the Fourth Proportional to 871.40, 1,307.76 and 523.66

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Solution

The fourth proportional to 871.40, 1,307.76 and 523.66 is: 785.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.40 : 1,307.76 = 523.66 : x
  2. Step 2: Convert to fraction form
    871.40/1,307.76 = 523.66/x
  3. Step 3: Cross multiply
    871.40x = 1,307.76 × 523.66
  4. Step 4: Simplify right side
    871.40x = 684,821.60
  5. Step 5: Solve for x
    x = 684,821.60/871.40
  6. Step 6: Final answer
    x = 785.89

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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.