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Finding the Fourth Proportional to 1,024.19, 1,536.41 and 293.89

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Solution

The fourth proportional to 1,024.19, 1,536.41 and 293.89 is: 440.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.19 : 1,536.41 = 293.89 : x
  2. Step 2: Convert to fraction form
    1,024.19/1,536.41 = 293.89/x
  3. Step 3: Cross multiply
    1,024.19x = 1,536.41 × 293.89
  4. Step 4: Simplify right side
    1,024.19x = 451,530.22
  5. Step 5: Solve for x
    x = 451,530.22/1,024.19
  6. Step 6: Final answer
    x = 440.86

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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.