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Finding the Fourth Proportional to 1,024.06, 1,535.82 and 293.47

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Solution

The fourth proportional to 1,024.06, 1,535.82 and 293.47 is: 440.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.06 : 1,535.82 = 293.47 : x
  2. Step 2: Convert to fraction form
    1,024.06/1,535.82 = 293.47/x
  3. Step 3: Cross multiply
    1,024.06x = 1,535.82 × 293.47
  4. Step 4: Simplify right side
    1,024.06x = 450,709.42
  5. Step 5: Solve for x
    x = 450,709.42/1,024.06
  6. Step 6: Final answer
    x = 440.12

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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.