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Finding the Fourth Proportional to 1,280.06, 1,920.22 and 414.44

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Solution

The fourth proportional to 1,280.06, 1,920.22 and 414.44 is: 621.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.06 : 1,920.22 = 414.44 : x
  2. Step 2: Convert to fraction form
    1,280.06/1,920.22 = 414.44/x
  3. Step 3: Cross multiply
    1,280.06x = 1,920.22 × 414.44
  4. Step 4: Simplify right side
    1,280.06x = 795,815.98
  5. Step 5: Solve for x
    x = 795,815.98/1,280.06
  6. Step 6: Final answer
    x = 621.70

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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.