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Finding the Fourth Proportional to 810.60, 1,217.67 and 580.02

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Solution

The fourth proportional to 810.60, 1,217.67 and 580.02 is: 871.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.60 : 1,217.67 = 580.02 : x
  2. Step 2: Convert to fraction form
    810.60/1,217.67 = 580.02/x
  3. Step 3: Cross multiply
    810.60x = 1,217.67 × 580.02
  4. Step 4: Simplify right side
    810.60x = 706,272.95
  5. Step 5: Solve for x
    x = 706,272.95/810.60
  6. Step 6: Final answer
    x = 871.30

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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.