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Finding the Fourth Proportional to 910.67, 1,366.34 and 520.43

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Solution

The fourth proportional to 910.67, 1,366.34 and 520.43 is: 780.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.67 : 1,366.34 = 520.43 : x
  2. Step 2: Convert to fraction form
    910.67/1,366.34 = 520.43/x
  3. Step 3: Cross multiply
    910.67x = 1,366.34 × 520.43
  4. Step 4: Simplify right side
    910.67x = 711,074.89
  5. Step 5: Solve for x
    x = 711,074.89/910.67
  6. Step 6: Final answer
    x = 780.83

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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.