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Finding the Fourth Proportional to 1,046.38, 1,443.96 and 598.27

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Solution

The fourth proportional to 1,046.38, 1,443.96 and 598.27 is: 825.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.38 : 1,443.96 = 598.27 : x
  2. Step 2: Convert to fraction form
    1,046.38/1,443.96 = 598.27/x
  3. Step 3: Cross multiply
    1,046.38x = 1,443.96 × 598.27
  4. Step 4: Simplify right side
    1,046.38x = 863,877.95
  5. Step 5: Solve for x
    x = 863,877.95/1,046.38
  6. Step 6: Final answer
    x = 825.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.