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Finding the Fourth Proportional to 871.16, 1,306.73 and 546.75

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Solution

The fourth proportional to 871.16, 1,306.73 and 546.75 is: 820.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.16 : 1,306.73 = 546.75 : x
  2. Step 2: Convert to fraction form
    871.16/1,306.73 = 546.75/x
  3. Step 3: Cross multiply
    871.16x = 1,306.73 × 546.75
  4. Step 4: Simplify right side
    871.16x = 714,455.99
  5. Step 5: Solve for x
    x = 714,455.99/871.16
  6. Step 6: Final answer
    x = 820.13

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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.