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Finding the Fourth Proportional to 1,253.17, 1,729.43 and 722.13

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Solution

The fourth proportional to 1,253.17, 1,729.43 and 722.13 is: 996.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.17 : 1,729.43 = 722.13 : x
  2. Step 2: Convert to fraction form
    1,253.17/1,729.43 = 722.13/x
  3. Step 3: Cross multiply
    1,253.17x = 1,729.43 × 722.13
  4. Step 4: Simplify right side
    1,253.17x = 1,248,874.40
  5. Step 5: Solve for x
    x = 1,248,874.40/1,253.17
  6. Step 6: Final answer
    x = 996.57

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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.