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Finding the Fourth Proportional to 1,250.01, 1,724.77 and 752.48

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Solution

The fourth proportional to 1,250.01, 1,724.77 and 752.48 is: 1,038.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.01 : 1,724.77 = 752.48 : x
  2. Step 2: Convert to fraction form
    1,250.01/1,724.77 = 752.48/x
  3. Step 3: Cross multiply
    1,250.01x = 1,724.77 × 752.48
  4. Step 4: Simplify right side
    1,250.01x = 1,297,854.93
  5. Step 5: Solve for x
    x = 1,297,854.93/1,250.01
  6. Step 6: Final answer
    x = 1,038.28

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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.