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Finding the Fourth Proportional to 1,647.52, 2,472.24 and 622.24

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Solution

The fourth proportional to 1,647.52, 2,472.24 and 622.24 is: 933.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.52 : 2,472.24 = 622.24 : x
  2. Step 2: Convert to fraction form
    1,647.52/2,472.24 = 622.24/x
  3. Step 3: Cross multiply
    1,647.52x = 2,472.24 × 622.24
  4. Step 4: Simplify right side
    1,647.52x = 1,538,326.62
  5. Step 5: Solve for x
    x = 1,538,326.62/1,647.52
  6. Step 6: Final answer
    x = 933.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.