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Finding the Fourth Proportional to 1,077.85, 1,617.01 and 347.40

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Solution

The fourth proportional to 1,077.85, 1,617.01 and 347.40 is: 521.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.85 : 1,617.01 = 347.40 : x
  2. Step 2: Convert to fraction form
    1,077.85/1,617.01 = 347.40/x
  3. Step 3: Cross multiply
    1,077.85x = 1,617.01 × 347.40
  4. Step 4: Simplify right side
    1,077.85x = 561,747.54
  5. Step 5: Solve for x
    x = 561,747.54/1,077.85
  6. Step 6: Final answer
    x = 521.17

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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.