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Finding the Fourth Proportional to 1,018.09, 1,404.86 and 575.97

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Solution

The fourth proportional to 1,018.09, 1,404.86 and 575.97 is: 794.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.09 : 1,404.86 = 575.97 : x
  2. Step 2: Convert to fraction form
    1,018.09/1,404.86 = 575.97/x
  3. Step 3: Cross multiply
    1,018.09x = 1,404.86 × 575.97
  4. Step 4: Simplify right side
    1,018.09x = 809,154.51
  5. Step 5: Solve for x
    x = 809,154.51/1,018.09
  6. Step 6: Final answer
    x = 794.77

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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.