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Finding the Fourth Proportional to 1,282.95, 1,770.59 and 723.66

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Solution

The fourth proportional to 1,282.95, 1,770.59 and 723.66 is: 998.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.95 : 1,770.59 = 723.66 : x
  2. Step 2: Convert to fraction form
    1,282.95/1,770.59 = 723.66/x
  3. Step 3: Cross multiply
    1,282.95x = 1,770.59 × 723.66
  4. Step 4: Simplify right side
    1,282.95x = 1,281,301.54
  5. Step 5: Solve for x
    x = 1,281,301.54/1,282.95
  6. Step 6: Final answer
    x = 998.72

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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.