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Finding the Fourth Proportional to 1,073.82, 1,610.74 and 343.40

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Solution

The fourth proportional to 1,073.82, 1,610.74 and 343.40 is: 515.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.82 : 1,610.74 = 343.40 : x
  2. Step 2: Convert to fraction form
    1,073.82/1,610.74 = 343.40/x
  3. Step 3: Cross multiply
    1,073.82x = 1,610.74 × 343.40
  4. Step 4: Simplify right side
    1,073.82x = 553,128.12
  5. Step 5: Solve for x
    x = 553,128.12/1,073.82
  6. Step 6: Final answer
    x = 515.10

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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.