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Finding the Fourth Proportional to 1,077.64, 1,616.49 and 347.22

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Solution

The fourth proportional to 1,077.64, 1,616.49 and 347.22 is: 520.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.64 : 1,616.49 = 347.22 : x
  2. Step 2: Convert to fraction form
    1,077.64/1,616.49 = 347.22/x
  3. Step 3: Cross multiply
    1,077.64x = 1,616.49 × 347.22
  4. Step 4: Simplify right side
    1,077.64x = 561,277.66
  5. Step 5: Solve for x
    x = 561,277.66/1,077.64
  6. Step 6: Final answer
    x = 520.84

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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.