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Finding the Fourth Proportional to 1,019.27, 1,406.66 and 577.17

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Solution

The fourth proportional to 1,019.27, 1,406.66 and 577.17 is: 796.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.27 : 1,406.66 = 577.17 : x
  2. Step 2: Convert to fraction form
    1,019.27/1,406.66 = 577.17/x
  3. Step 3: Cross multiply
    1,019.27x = 1,406.66 × 577.17
  4. Step 4: Simplify right side
    1,019.27x = 811,881.95
  5. Step 5: Solve for x
    x = 811,881.95/1,019.27
  6. Step 6: Final answer
    x = 796.53

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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.