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Finding the Fourth Proportional to 1,347.49, 2,020.51 and 792.39

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Solution

The fourth proportional to 1,347.49, 2,020.51 and 792.39 is: 1,188.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.49 : 2,020.51 = 792.39 : x
  2. Step 2: Convert to fraction form
    1,347.49/2,020.51 = 792.39/x
  3. Step 3: Cross multiply
    1,347.49x = 2,020.51 × 792.39
  4. Step 4: Simplify right side
    1,347.49x = 1,601,031.92
  5. Step 5: Solve for x
    x = 1,601,031.92/1,347.49
  6. Step 6: Final answer
    x = 1,188.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.