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Finding the Fourth Proportional to 1,249.63, 1,724.41 and 690.07

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Solution

The fourth proportional to 1,249.63, 1,724.41 and 690.07 is: 952.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.63 : 1,724.41 = 690.07 : x
  2. Step 2: Convert to fraction form
    1,249.63/1,724.41 = 690.07/x
  3. Step 3: Cross multiply
    1,249.63x = 1,724.41 × 690.07
  4. Step 4: Simplify right side
    1,249.63x = 1,189,963.61
  5. Step 5: Solve for x
    x = 1,189,963.61/1,249.63
  6. Step 6: Final answer
    x = 952.25

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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.