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Finding the Fourth Proportional to 1,018.81, 1,405.76 and 587.55

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Solution

The fourth proportional to 1,018.81, 1,405.76 and 587.55 is: 810.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.81 : 1,405.76 = 587.55 : x
  2. Step 2: Convert to fraction form
    1,018.81/1,405.76 = 587.55/x
  3. Step 3: Cross multiply
    1,018.81x = 1,405.76 × 587.55
  4. Step 4: Simplify right side
    1,018.81x = 825,956.62
  5. Step 5: Solve for x
    x = 825,956.62/1,018.81
  6. Step 6: Final answer
    x = 810.71

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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.