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Finding the Fourth Proportional to 1,281.95, 1,769.26 and 722.53

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Solution

The fourth proportional to 1,281.95, 1,769.26 and 722.53 is: 997.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.95 : 1,769.26 = 722.53 : x
  2. Step 2: Convert to fraction form
    1,281.95/1,769.26 = 722.53/x
  3. Step 3: Cross multiply
    1,281.95x = 1,769.26 × 722.53
  4. Step 4: Simplify right side
    1,281.95x = 1,278,343.43
  5. Step 5: Solve for x
    x = 1,278,343.43/1,281.95
  6. Step 6: Final answer
    x = 997.19

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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.