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Finding the Fourth Proportional to 1,134.44, 1,702.38 and 485.17

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Solution

The fourth proportional to 1,134.44, 1,702.38 and 485.17 is: 728.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.44 : 1,702.38 = 485.17 : x
  2. Step 2: Convert to fraction form
    1,134.44/1,702.38 = 485.17/x
  3. Step 3: Cross multiply
    1,134.44x = 1,702.38 × 485.17
  4. Step 4: Simplify right side
    1,134.44x = 825,932.77
  5. Step 5: Solve for x
    x = 825,932.77/1,134.44
  6. Step 6: Final answer
    x = 728.06

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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.