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Finding the Fourth Proportional to 1,253.06, 1,729.23 and 701.06

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Solution

The fourth proportional to 1,253.06, 1,729.23 and 701.06 is: 967.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.06 : 1,729.23 = 701.06 : x
  2. Step 2: Convert to fraction form
    1,253.06/1,729.23 = 701.06/x
  3. Step 3: Cross multiply
    1,253.06x = 1,729.23 × 701.06
  4. Step 4: Simplify right side
    1,253.06x = 1,212,293.98
  5. Step 5: Solve for x
    x = 1,212,293.98/1,253.06
  6. Step 6: Final answer
    x = 967.47

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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.