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Finding the Fourth Proportional to 874.50, 1,206.69 and 501.50

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Solution

The fourth proportional to 874.50, 1,206.69 and 501.50 is: 691.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.50 : 1,206.69 = 501.50 : x
  2. Step 2: Convert to fraction form
    874.50/1,206.69 = 501.50/x
  3. Step 3: Cross multiply
    874.50x = 1,206.69 × 501.50
  4. Step 4: Simplify right side
    874.50x = 605,151.65
  5. Step 5: Solve for x
    x = 605,151.65/874.50
  6. Step 6: Final answer
    x = 691.99

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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.