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Finding the Fourth Proportional to 1,024.18, 1,536.55 and 293.76

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Solution

The fourth proportional to 1,024.18, 1,536.55 and 293.76 is: 440.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.18 : 1,536.55 = 293.76 : x
  2. Step 2: Convert to fraction form
    1,024.18/1,536.55 = 293.76/x
  3. Step 3: Cross multiply
    1,024.18x = 1,536.55 × 293.76
  4. Step 4: Simplify right side
    1,024.18x = 451,376.19
  5. Step 5: Solve for x
    x = 451,376.19/1,024.18
  6. Step 6: Final answer
    x = 440.72

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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.