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Finding the Fourth Proportional to 1,480.78, 2,042.49 and 890.70

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Solution

The fourth proportional to 1,480.78, 2,042.49 and 890.70 is: 1,228.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.78 : 2,042.49 = 890.70 : x
  2. Step 2: Convert to fraction form
    1,480.78/2,042.49 = 890.70/x
  3. Step 3: Cross multiply
    1,480.78x = 2,042.49 × 890.70
  4. Step 4: Simplify right side
    1,480.78x = 1,819,235.63
  5. Step 5: Solve for x
    x = 1,819,235.63/1,480.78
  6. Step 6: Final answer
    x = 1,228.57

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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.