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Finding the Fourth Proportional to 1,454.40, 2,006.91 and 824.85

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Solution

The fourth proportional to 1,454.40, 2,006.91 and 824.85 is: 1,138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.40 : 2,006.91 = 824.85 : x
  2. Step 2: Convert to fraction form
    1,454.40/2,006.91 = 824.85/x
  3. Step 3: Cross multiply
    1,454.40x = 2,006.91 × 824.85
  4. Step 4: Simplify right side
    1,454.40x = 1,655,399.71
  5. Step 5: Solve for x
    x = 1,655,399.71/1,454.40
  6. Step 6: Final answer
    x = 1,138.20

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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.