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Finding the Fourth Proportional to 1,024.02, 1,535.94 and 293.46

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Solution

The fourth proportional to 1,024.02, 1,535.94 and 293.46 is: 440.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.02 : 1,535.94 = 293.46 : x
  2. Step 2: Convert to fraction form
    1,024.02/1,535.94 = 293.46/x
  3. Step 3: Cross multiply
    1,024.02x = 1,535.94 × 293.46
  4. Step 4: Simplify right side
    1,024.02x = 450,736.95
  5. Step 5: Solve for x
    x = 450,736.95/1,024.02
  6. Step 6: Final answer
    x = 440.16

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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.