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Finding the Fourth Proportional to 1,024.19, 1,536.33 and 293.81

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Solution

The fourth proportional to 1,024.19, 1,536.33 and 293.81 is: 440.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.19 : 1,536.33 = 293.81 : x
  2. Step 2: Convert to fraction form
    1,024.19/1,536.33 = 293.81/x
  3. Step 3: Cross multiply
    1,024.19x = 1,536.33 × 293.81
  4. Step 4: Simplify right side
    1,024.19x = 451,389.12
  5. Step 5: Solve for x
    x = 451,389.12/1,024.19
  6. Step 6: Final answer
    x = 440.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.