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Finding the Fourth Proportional to 1,189.86, 1,641.78 and 747.51

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Solution

The fourth proportional to 1,189.86, 1,641.78 and 747.51 is: 1,031.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.86 : 1,641.78 = 747.51 : x
  2. Step 2: Convert to fraction form
    1,189.86/1,641.78 = 747.51/x
  3. Step 3: Cross multiply
    1,189.86x = 1,641.78 × 747.51
  4. Step 4: Simplify right side
    1,189.86x = 1,227,246.97
  5. Step 5: Solve for x
    x = 1,227,246.97/1,189.86
  6. Step 6: Final answer
    x = 1,031.42

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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.