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Finding the Fourth Proportional to 1,498.86, 2,249.10 and 633.24

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Solution

The fourth proportional to 1,498.86, 2,249.10 and 633.24 is: 950.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.86 : 2,249.10 = 633.24 : x
  2. Step 2: Convert to fraction form
    1,498.86/2,249.10 = 633.24/x
  3. Step 3: Cross multiply
    1,498.86x = 2,249.10 × 633.24
  4. Step 4: Simplify right side
    1,498.86x = 1,424,220.08
  5. Step 5: Solve for x
    x = 1,424,220.08/1,498.86
  6. Step 6: Final answer
    x = 950.20

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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.