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Finding the Fourth Proportional to 1,077.61, 1,616.56 and 347.35

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Solution

The fourth proportional to 1,077.61, 1,616.56 and 347.35 is: 521.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.61 : 1,616.56 = 347.35 : x
  2. Step 2: Convert to fraction form
    1,077.61/1,616.56 = 347.35/x
  3. Step 3: Cross multiply
    1,077.61x = 1,616.56 × 347.35
  4. Step 4: Simplify right side
    1,077.61x = 561,504.03
  5. Step 5: Solve for x
    x = 561,504.03/1,077.61
  6. Step 6: Final answer
    x = 521.07

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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.