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Finding the Fourth Proportional to 919.77, 1,380.65 and 508.80

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Solution

The fourth proportional to 919.77, 1,380.65 and 508.80 is: 763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.77 : 1,380.65 = 508.80 : x
  2. Step 2: Convert to fraction form
    919.77/1,380.65 = 508.80/x
  3. Step 3: Cross multiply
    919.77x = 1,380.65 × 508.80
  4. Step 4: Simplify right side
    919.77x = 702,469.59
  5. Step 5: Solve for x
    x = 702,469.59/919.77
  6. Step 6: Final answer
    x = 763.74

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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.