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Finding the Fourth Proportional to 1,077.97, 1,616.59 and 347.36

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Solution

The fourth proportional to 1,077.97, 1,616.59 and 347.36 is: 520.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.97 : 1,616.59 = 347.36 : x
  2. Step 2: Convert to fraction form
    1,077.97/1,616.59 = 347.36/x
  3. Step 3: Cross multiply
    1,077.97x = 1,616.59 × 347.36
  4. Step 4: Simplify right side
    1,077.97x = 561,538.70
  5. Step 5: Solve for x
    x = 561,538.70/1,077.97
  6. Step 6: Final answer
    x = 520.92

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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.