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Finding the Fourth Proportional to 1,073.65, 1,610.37 and 343.10

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Solution

The fourth proportional to 1,073.65, 1,610.37 and 343.10 is: 514.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.65 : 1,610.37 = 343.10 : x
  2. Step 2: Convert to fraction form
    1,073.65/1,610.37 = 343.10/x
  3. Step 3: Cross multiply
    1,073.65x = 1,610.37 × 343.10
  4. Step 4: Simplify right side
    1,073.65x = 552,509.90
  5. Step 5: Solve for x
    x = 552,509.90/1,073.65
  6. Step 6: Final answer
    x = 514.61

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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.