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Finding the Fourth Proportional to 1,074.12, 1,610.12 and 343.16

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Solution

The fourth proportional to 1,074.12, 1,610.12 and 343.16 is: 514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.12 : 1,610.12 = 343.16 : x
  2. Step 2: Convert to fraction form
    1,074.12/1,610.12 = 343.16/x
  3. Step 3: Cross multiply
    1,074.12x = 1,610.12 × 343.16
  4. Step 4: Simplify right side
    1,074.12x = 552,528.78
  5. Step 5: Solve for x
    x = 552,528.78/1,074.12
  6. Step 6: Final answer
    x = 514.40

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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.