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Finding the Fourth Proportional to 781.74, 1,078.46 and 501.88

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Solution

The fourth proportional to 781.74, 1,078.46 and 501.88 is: 692.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.74 : 1,078.46 = 501.88 : x
  2. Step 2: Convert to fraction form
    781.74/1,078.46 = 501.88/x
  3. Step 3: Cross multiply
    781.74x = 1,078.46 × 501.88
  4. Step 4: Simplify right side
    781.74x = 541,257.50
  5. Step 5: Solve for x
    x = 541,257.50/781.74
  6. Step 6: Final answer
    x = 692.38

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1.5x scale

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.