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Finding the Fourth Proportional to 1,282.92, 1,770.06 and 723.19

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Solution

The fourth proportional to 1,282.92, 1,770.06 and 723.19 is: 997.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.92 : 1,770.06 = 723.19 : x
  2. Step 2: Convert to fraction form
    1,282.92/1,770.06 = 723.19/x
  3. Step 3: Cross multiply
    1,282.92x = 1,770.06 × 723.19
  4. Step 4: Simplify right side
    1,282.92x = 1,280,089.69
  5. Step 5: Solve for x
    x = 1,280,089.69/1,282.92
  6. Step 6: Final answer
    x = 997.79

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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.