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Finding the Fourth Proportional to 1,253.34, 1,729.98 and 1,005.48

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Solution

The fourth proportional to 1,253.34, 1,729.98 and 1,005.48 is: 1,387.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.34 : 1,729.98 = 1,005.48 : x
  2. Step 2: Convert to fraction form
    1,253.34/1,729.98 = 1,005.48/x
  3. Step 3: Cross multiply
    1,253.34x = 1,729.98 × 1,005.48
  4. Step 4: Simplify right side
    1,253.34x = 1,739,460.29
  5. Step 5: Solve for x
    x = 1,739,460.29/1,253.34
  6. Step 6: Final answer
    x = 1,387.86

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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.