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Finding the Fourth Proportional to 1,249.48, 1,724.36 and 829.12

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Solution

The fourth proportional to 1,249.48, 1,724.36 and 829.12 is: 1,144.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.48 : 1,724.36 = 829.12 : x
  2. Step 2: Convert to fraction form
    1,249.48/1,724.36 = 829.12/x
  3. Step 3: Cross multiply
    1,249.48x = 1,724.36 × 829.12
  4. Step 4: Simplify right side
    1,249.48x = 1,429,701.36
  5. Step 5: Solve for x
    x = 1,429,701.36/1,249.48
  6. Step 6: Final answer
    x = 1,144.24

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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.