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Finding the Fourth Proportional to 1,073.78, 1,610.70 and 343.40

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Solution

The fourth proportional to 1,073.78, 1,610.70 and 343.40 is: 515.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.78 : 1,610.70 = 343.40 : x
  2. Step 2: Convert to fraction form
    1,073.78/1,610.70 = 343.40/x
  3. Step 3: Cross multiply
    1,073.78x = 1,610.70 × 343.40
  4. Step 4: Simplify right side
    1,073.78x = 553,114.38
  5. Step 5: Solve for x
    x = 553,114.38/1,073.78
  6. Step 6: Final answer
    x = 515.11

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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.