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Finding the Fourth Proportional to 1,280.14, 1,766.19 and 782.24

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Solution

The fourth proportional to 1,280.14, 1,766.19 and 782.24 is: 1,079.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.14 : 1,766.19 = 782.24 : x
  2. Step 2: Convert to fraction form
    1,280.14/1,766.19 = 782.24/x
  3. Step 3: Cross multiply
    1,280.14x = 1,766.19 × 782.24
  4. Step 4: Simplify right side
    1,280.14x = 1,381,588.88
  5. Step 5: Solve for x
    x = 1,381,588.88/1,280.14
  6. Step 6: Final answer
    x = 1,079.25

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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.