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Finding the Fourth Proportional to 1,343.08, 1,853.48 and 753.64

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Solution

The fourth proportional to 1,343.08, 1,853.48 and 753.64 is: 1,040.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.08 : 1,853.48 = 753.64 : x
  2. Step 2: Convert to fraction form
    1,343.08/1,853.48 = 753.64/x
  3. Step 3: Cross multiply
    1,343.08x = 1,853.48 × 753.64
  4. Step 4: Simplify right side
    1,343.08x = 1,396,856.67
  5. Step 5: Solve for x
    x = 1,396,856.67/1,343.08
  6. Step 6: Final answer
    x = 1,040.04

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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.