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Finding the Fourth Proportional to 861.06, 1,290.24 and 340.78

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Solution

The fourth proportional to 861.06, 1,290.24 and 340.78 is: 510.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.06 : 1,290.24 = 340.78 : x
  2. Step 2: Convert to fraction form
    861.06/1,290.24 = 340.78/x
  3. Step 3: Cross multiply
    861.06x = 1,290.24 × 340.78
  4. Step 4: Simplify right side
    861.06x = 439,687.99
  5. Step 5: Solve for x
    x = 439,687.99/861.06
  6. Step 6: Final answer
    x = 510.64

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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.