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Finding the Fourth Proportional to 1,018.06, 1,404.89 and 575.93

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Solution

The fourth proportional to 1,018.06, 1,404.89 and 575.93 is: 794.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.06 : 1,404.89 = 575.93 : x
  2. Step 2: Convert to fraction form
    1,018.06/1,404.89 = 575.93/x
  3. Step 3: Cross multiply
    1,018.06x = 1,404.89 × 575.93
  4. Step 4: Simplify right side
    1,018.06x = 809,118.30
  5. Step 5: Solve for x
    x = 809,118.30/1,018.06
  6. Step 6: Final answer
    x = 794.76

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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.