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Finding the Fourth Proportional to 1,077.49, 1,616.07 and 346.97

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Solution

The fourth proportional to 1,077.49, 1,616.07 and 346.97 is: 520.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.49 : 1,616.07 = 346.97 : x
  2. Step 2: Convert to fraction form
    1,077.49/1,616.07 = 346.97/x
  3. Step 3: Cross multiply
    1,077.49x = 1,616.07 × 346.97
  4. Step 4: Simplify right side
    1,077.49x = 560,727.81
  5. Step 5: Solve for x
    x = 560,727.81/1,077.49
  6. Step 6: Final answer
    x = 520.40

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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.