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Finding the Fourth Proportional to 1,104.40, 1,523.97 and 632.20

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Solution

The fourth proportional to 1,104.40, 1,523.97 and 632.20 is: 872.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.40 : 1,523.97 = 632.20 : x
  2. Step 2: Convert to fraction form
    1,104.40/1,523.97 = 632.20/x
  3. Step 3: Cross multiply
    1,104.40x = 1,523.97 × 632.20
  4. Step 4: Simplify right side
    1,104.40x = 963,453.83
  5. Step 5: Solve for x
    x = 963,453.83/1,104.40
  6. Step 6: Final answer
    x = 872.38

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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.