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Finding the Fourth Proportional to 1,078.46, 1,617.34 and 462.00

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Solution

The fourth proportional to 1,078.46, 1,617.34 and 462.00 is: 692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.46 : 1,617.34 = 462.00 : x
  2. Step 2: Convert to fraction form
    1,078.46/1,617.34 = 462.00/x
  3. Step 3: Cross multiply
    1,078.46x = 1,617.34 × 462.00
  4. Step 4: Simplify right side
    1,078.46x = 747,200.68
  5. Step 5: Solve for x
    x = 747,200.68/1,078.46
  6. Step 6: Final answer
    x = 692.84

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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.