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Finding the Fourth Proportional to 1,023.81, 1,535.84 and 293.41

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Solution

The fourth proportional to 1,023.81, 1,535.84 and 293.41 is: 440.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.81 : 1,535.84 = 293.41 : x
  2. Step 2: Convert to fraction form
    1,023.81/1,535.84 = 293.41/x
  3. Step 3: Cross multiply
    1,023.81x = 1,535.84 × 293.41
  4. Step 4: Simplify right side
    1,023.81x = 450,625.38
  5. Step 5: Solve for x
    x = 450,625.38/1,023.81
  6. Step 6: Final answer
    x = 440.15

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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.