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Finding the Fourth Proportional to 1,023.30, 1,535.22 and 475.88

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Solution

The fourth proportional to 1,023.30, 1,535.22 and 475.88 is: 713.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.30 : 1,535.22 = 475.88 : x
  2. Step 2: Convert to fraction form
    1,023.30/1,535.22 = 475.88/x
  3. Step 3: Cross multiply
    1,023.30x = 1,535.22 × 475.88
  4. Step 4: Simplify right side
    1,023.30x = 730,572.82
  5. Step 5: Solve for x
    x = 730,572.82/1,023.30
  6. Step 6: Final answer
    x = 713.94

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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.