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Finding the Fourth Proportional to 1,019.51, 1,406.90 and 577.41

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Solution

The fourth proportional to 1,019.51, 1,406.90 and 577.41 is: 796.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.51 : 1,406.90 = 577.41 : x
  2. Step 2: Convert to fraction form
    1,019.51/1,406.90 = 577.41/x
  3. Step 3: Cross multiply
    1,019.51x = 1,406.90 × 577.41
  4. Step 4: Simplify right side
    1,019.51x = 812,355.24
  5. Step 5: Solve for x
    x = 812,355.24/1,019.51
  6. Step 6: Final answer
    x = 796.81

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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.