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Finding the Fourth Proportional to 874.98, 1,206.68 and 559.88

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Solution

The fourth proportional to 874.98, 1,206.68 and 559.88 is: 772.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.98 : 1,206.68 = 559.88 : x
  2. Step 2: Convert to fraction form
    874.98/1,206.68 = 559.88/x
  3. Step 3: Cross multiply
    874.98x = 1,206.68 × 559.88
  4. Step 4: Simplify right side
    874.98x = 675,596.00
  5. Step 5: Solve for x
    x = 675,596.00/874.98
  6. Step 6: Final answer
    x = 772.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.