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Finding the Fourth Proportional to 1,074.48, 1,610.94 and 343.64

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Solution

The fourth proportional to 1,074.48, 1,610.94 and 343.64 is: 515.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.48 : 1,610.94 = 343.64 : x
  2. Step 2: Convert to fraction form
    1,074.48/1,610.94 = 343.64/x
  3. Step 3: Cross multiply
    1,074.48x = 1,610.94 × 343.64
  4. Step 4: Simplify right side
    1,074.48x = 553,583.42
  5. Step 5: Solve for x
    x = 553,583.42/1,074.48
  6. Step 6: Final answer
    x = 515.21

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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.