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Finding the Fourth Proportional to 1,018.62, 1,405.67 and 576.66

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Solution

The fourth proportional to 1,018.62, 1,405.67 and 576.66 is: 795.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.62 : 1,405.67 = 576.66 : x
  2. Step 2: Convert to fraction form
    1,018.62/1,405.67 = 576.66/x
  3. Step 3: Cross multiply
    1,018.62x = 1,405.67 × 576.66
  4. Step 4: Simplify right side
    1,018.62x = 810,593.66
  5. Step 5: Solve for x
    x = 810,593.66/1,018.62
  6. Step 6: Final answer
    x = 795.78

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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.