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Finding the Fourth Proportional to 779.49, 1,168.20 and 414.18

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Solution

The fourth proportional to 779.49, 1,168.20 and 414.18 is: 620.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.49 : 1,168.20 = 414.18 : x
  2. Step 2: Convert to fraction form
    779.49/1,168.20 = 414.18/x
  3. Step 3: Cross multiply
    779.49x = 1,168.20 × 414.18
  4. Step 4: Simplify right side
    779.49x = 483,845.08
  5. Step 5: Solve for x
    x = 483,845.08/779.49
  6. Step 6: Final answer
    x = 620.72

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1.5x scale

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.