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Finding the Fourth Proportional to 810.29, 1,214.41 and 517.70

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Solution

The fourth proportional to 810.29, 1,214.41 and 517.70 is: 775.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.29 : 1,214.41 = 517.70 : x
  2. Step 2: Convert to fraction form
    810.29/1,214.41 = 517.70/x
  3. Step 3: Cross multiply
    810.29x = 1,214.41 × 517.70
  4. Step 4: Simplify right side
    810.29x = 628,700.06
  5. Step 5: Solve for x
    x = 628,700.06/810.29
  6. Step 6: Final answer
    x = 775.90

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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.