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Finding the Fourth Proportional to 1,018.79, 1,404.56 and 809.66

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Solution

The fourth proportional to 1,018.79, 1,404.56 and 809.66 is: 1,116.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.79 : 1,404.56 = 809.66 : x
  2. Step 2: Convert to fraction form
    1,018.79/1,404.56 = 809.66/x
  3. Step 3: Cross multiply
    1,018.79x = 1,404.56 × 809.66
  4. Step 4: Simplify right side
    1,018.79x = 1,137,211.05
  5. Step 5: Solve for x
    x = 1,137,211.05/1,018.79
  6. Step 6: Final answer
    x = 1,116.24

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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.