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Finding the Fourth Proportional to 1,074.19, 1,610.94 and 343.59

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Solution

The fourth proportional to 1,074.19, 1,610.94 and 343.59 is: 515.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.19 : 1,610.94 = 343.59 : x
  2. Step 2: Convert to fraction form
    1,074.19/1,610.94 = 343.59/x
  3. Step 3: Cross multiply
    1,074.19x = 1,610.94 × 343.59
  4. Step 4: Simplify right side
    1,074.19x = 553,510.20
  5. Step 5: Solve for x
    x = 553,510.20/1,074.19
  6. Step 6: Final answer
    x = 515.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.