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Finding the Fourth Proportional to 1,018.02, 1,404.87 and 552.27

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Solution

The fourth proportional to 1,018.02, 1,404.87 and 552.27 is: 762.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.02 : 1,404.87 = 552.27 : x
  2. Step 2: Convert to fraction form
    1,018.02/1,404.87 = 552.27/x
  3. Step 3: Cross multiply
    1,018.02x = 1,404.87 × 552.27
  4. Step 4: Simplify right side
    1,018.02x = 775,857.77
  5. Step 5: Solve for x
    x = 775,857.77/1,018.02
  6. Step 6: Final answer
    x = 762.13

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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.