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Finding the Fourth Proportional to 1,024.53, 1,536.75 and 294.10

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Solution

The fourth proportional to 1,024.53, 1,536.75 and 294.10 is: 441.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.53 : 1,536.75 = 294.10 : x
  2. Step 2: Convert to fraction form
    1,024.53/1,536.75 = 294.10/x
  3. Step 3: Cross multiply
    1,024.53x = 1,536.75 × 294.10
  4. Step 4: Simplify right side
    1,024.53x = 451,958.18
  5. Step 5: Solve for x
    x = 451,958.18/1,024.53
  6. Step 6: Final answer
    x = 441.14

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Why These Related Problems?

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