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Finding the Fourth Proportional to 1,023.43, 1,535.19 and 292.93

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Solution

The fourth proportional to 1,023.43, 1,535.19 and 292.93 is: 439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.43 : 1,535.19 = 292.93 : x
  2. Step 2: Convert to fraction form
    1,023.43/1,535.19 = 292.93/x
  3. Step 3: Cross multiply
    1,023.43x = 1,535.19 × 292.93
  4. Step 4: Simplify right side
    1,023.43x = 449,703.21
  5. Step 5: Solve for x
    x = 449,703.21/1,023.43
  6. Step 6: Final answer
    x = 439.41

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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.