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Finding the Fourth Proportional to 810.14, 1,214.93 and 517.22

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Solution

The fourth proportional to 810.14, 1,214.93 and 517.22 is: 775.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.14 : 1,214.93 = 517.22 : x
  2. Step 2: Convert to fraction form
    810.14/1,214.93 = 517.22/x
  3. Step 3: Cross multiply
    810.14x = 1,214.93 × 517.22
  4. Step 4: Simplify right side
    810.14x = 628,385.87
  5. Step 5: Solve for x
    x = 628,385.87/810.14
  6. Step 6: Final answer
    x = 775.66

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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.