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Finding the Fourth Proportional to 1,018.06, 1,404.91 and 552.31

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Solution

The fourth proportional to 1,018.06, 1,404.91 and 552.31 is: 762.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.06 : 1,404.91 = 552.31 : x
  2. Step 2: Convert to fraction form
    1,018.06/1,404.91 = 552.31/x
  3. Step 3: Cross multiply
    1,018.06x = 1,404.91 × 552.31
  4. Step 4: Simplify right side
    1,018.06x = 775,943.02
  5. Step 5: Solve for x
    x = 775,943.02/1,018.06
  6. Step 6: Final answer
    x = 762.18

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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.