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Finding the Fourth Proportional to 1,282.64, 1,770.08 and 723.14

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Solution

The fourth proportional to 1,282.64, 1,770.08 and 723.14 is: 997.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.64 : 1,770.08 = 723.14 : x
  2. Step 2: Convert to fraction form
    1,282.64/1,770.08 = 723.14/x
  3. Step 3: Cross multiply
    1,282.64x = 1,770.08 × 723.14
  4. Step 4: Simplify right side
    1,282.64x = 1,280,003.19
  5. Step 5: Solve for x
    x = 1,280,003.19/1,282.64
  6. Step 6: Final answer
    x = 997.95

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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.