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Finding the Fourth Proportional to 1,343.42, 1,853.91 and 753.95

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Solution

The fourth proportional to 1,343.42, 1,853.91 and 753.95 is: 1,040.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.42 : 1,853.91 = 753.95 : x
  2. Step 2: Convert to fraction form
    1,343.42/1,853.91 = 753.95/x
  3. Step 3: Cross multiply
    1,343.42x = 1,853.91 × 753.95
  4. Step 4: Simplify right side
    1,343.42x = 1,397,746.17
  5. Step 5: Solve for x
    x = 1,397,746.17/1,343.42
  6. Step 6: Final answer
    x = 1,040.44

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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.