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Finding the Fourth Proportional to 874.04, 1,309.88 and 462.30

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Solution

The fourth proportional to 874.04, 1,309.88 and 462.30 is: 692.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.04 : 1,309.88 = 462.30 : x
  2. Step 2: Convert to fraction form
    874.04/1,309.88 = 462.30/x
  3. Step 3: Cross multiply
    874.04x = 1,309.88 × 462.30
  4. Step 4: Simplify right side
    874.04x = 605,557.52
  5. Step 5: Solve for x
    x = 605,557.52/874.04
  6. Step 6: Final answer
    x = 692.83

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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.