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Finding the Fourth Proportional to 874.36, 1,308.72 and 462.90

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Solution

The fourth proportional to 874.36, 1,308.72 and 462.90 is: 692.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.36 : 1,308.72 = 462.90 : x
  2. Step 2: Convert to fraction form
    874.36/1,308.72 = 462.90/x
  3. Step 3: Cross multiply
    874.36x = 1,308.72 × 462.90
  4. Step 4: Simplify right side
    874.36x = 605,806.49
  5. Step 5: Solve for x
    x = 605,806.49/874.36
  6. Step 6: Final answer
    x = 692.86

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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.