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Finding the Fourth Proportional to 1,019.29, 1,406.64 and 577.21

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Solution

The fourth proportional to 1,019.29, 1,406.64 and 577.21 is: 796.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.29 : 1,406.64 = 577.21 : x
  2. Step 2: Convert to fraction form
    1,019.29/1,406.64 = 577.21/x
  3. Step 3: Cross multiply
    1,019.29x = 1,406.64 × 577.21
  4. Step 4: Simplify right side
    1,019.29x = 811,926.67
  5. Step 5: Solve for x
    x = 811,926.67/1,019.29
  6. Step 6: Final answer
    x = 796.56

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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.