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Finding the Fourth Proportional to 1,346.06, 2,015.33 and 727.55

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Solution

The fourth proportional to 1,346.06, 2,015.33 and 727.55 is: 1,089.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.06 : 2,015.33 = 727.55 : x
  2. Step 2: Convert to fraction form
    1,346.06/2,015.33 = 727.55/x
  3. Step 3: Cross multiply
    1,346.06x = 2,015.33 × 727.55
  4. Step 4: Simplify right side
    1,346.06x = 1,466,253.34
  5. Step 5: Solve for x
    x = 1,466,253.34/1,346.06
  6. Step 6: Final answer
    x = 1,089.29

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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.