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Finding the Fourth Proportional to 1,249.93, 1,724.90 and 690.45

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Solution

The fourth proportional to 1,249.93, 1,724.90 and 690.45 is: 952.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.93 : 1,724.90 = 690.45 : x
  2. Step 2: Convert to fraction form
    1,249.93/1,724.90 = 690.45/x
  3. Step 3: Cross multiply
    1,249.93x = 1,724.90 × 690.45
  4. Step 4: Simplify right side
    1,249.93x = 1,190,957.21
  5. Step 5: Solve for x
    x = 1,190,957.21/1,249.93
  6. Step 6: Final answer
    x = 952.82

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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.