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Finding the Fourth Proportional to 1,019.22, 1,521.45 and 943.13

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Solution

The fourth proportional to 1,019.22, 1,521.45 and 943.13 is: 1,407.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.22 : 1,521.45 = 943.13 : x
  2. Step 2: Convert to fraction form
    1,019.22/1,521.45 = 943.13/x
  3. Step 3: Cross multiply
    1,019.22x = 1,521.45 × 943.13
  4. Step 4: Simplify right side
    1,019.22x = 1,434,917.53
  5. Step 5: Solve for x
    x = 1,434,917.53/1,019.22
  6. Step 6: Final answer
    x = 1,407.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.