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Finding the Fourth Proportional to 1,077.97, 1,617.07 and 384.71

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Solution

The fourth proportional to 1,077.97, 1,617.07 and 384.71 is: 577.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.97 : 1,617.07 = 384.71 : x
  2. Step 2: Convert to fraction form
    1,077.97/1,617.07 = 384.71/x
  3. Step 3: Cross multiply
    1,077.97x = 1,617.07 × 384.71
  4. Step 4: Simplify right side
    1,077.97x = 622,103.00
  5. Step 5: Solve for x
    x = 622,103.00/1,077.97
  6. Step 6: Final answer
    x = 577.11

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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.