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Finding the Fourth Proportional to 1,023.52, 1,535.72 and 475.82

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Solution

The fourth proportional to 1,023.52, 1,535.72 and 475.82 is: 713.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.52 : 1,535.72 = 475.82 : x
  2. Step 2: Convert to fraction form
    1,023.52/1,535.72 = 475.82/x
  3. Step 3: Cross multiply
    1,023.52x = 1,535.72 × 475.82
  4. Step 4: Simplify right side
    1,023.52x = 730,727.75
  5. Step 5: Solve for x
    x = 730,727.75/1,023.52
  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.