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Finding the Fourth Proportional to 1,018.01, 1,404.64 and 598.43

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Solution

The fourth proportional to 1,018.01, 1,404.64 and 598.43 is: 825.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.01 : 1,404.64 = 598.43 : x
  2. Step 2: Convert to fraction form
    1,018.01/1,404.64 = 598.43/x
  3. Step 3: Cross multiply
    1,018.01x = 1,404.64 × 598.43
  4. Step 4: Simplify right side
    1,018.01x = 840,578.72
  5. Step 5: Solve for x
    x = 840,578.72/1,018.01
  6. Step 6: Final answer
    x = 825.71

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