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Finding the Fourth Proportional to 1,522.75, 2,101.40 and 824.13

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Solution

The fourth proportional to 1,522.75, 2,101.40 and 824.13 is: 1,137.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.75 : 2,101.40 = 824.13 : x
  2. Step 2: Convert to fraction form
    1,522.75/2,101.40 = 824.13/x
  3. Step 3: Cross multiply
    1,522.75x = 2,101.40 × 824.13
  4. Step 4: Simplify right side
    1,522.75x = 1,731,826.78
  5. Step 5: Solve for x
    x = 1,731,826.78/1,522.75
  6. Step 6: Final answer
    x = 1,137.30

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Half scale
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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.