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Finding the Fourth Proportional to 1,074.74, 1,612.35 and 344.39

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Solution

The fourth proportional to 1,074.74, 1,612.35 and 344.39 is: 516.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.74 : 1,612.35 = 344.39 : x
  2. Step 2: Convert to fraction form
    1,074.74/1,612.35 = 344.39/x
  3. Step 3: Cross multiply
    1,074.74x = 1,612.35 × 344.39
  4. Step 4: Simplify right side
    1,074.74x = 555,281.25
  5. Step 5: Solve for x
    x = 555,281.25/1,074.74
  6. Step 6: Final answer
    x = 516.66

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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.