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Finding the Fourth Proportional to 1,018.73, 1,405.88 and 576.62

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Solution

The fourth proportional to 1,018.73, 1,405.88 and 576.62 is: 795.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.73 : 1,405.88 = 576.62 : x
  2. Step 2: Convert to fraction form
    1,018.73/1,405.88 = 576.62/x
  3. Step 3: Cross multiply
    1,018.73x = 1,405.88 × 576.62
  4. Step 4: Simplify right side
    1,018.73x = 810,658.53
  5. Step 5: Solve for x
    x = 810,658.53/1,018.73
  6. Step 6: Final answer
    x = 795.75

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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.