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Finding the Fourth Proportional to 1,023.29, 1,534.93 and 475.17

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Solution

The fourth proportional to 1,023.29, 1,534.93 and 475.17 is: 712.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.29 : 1,534.93 = 475.17 : x
  2. Step 2: Convert to fraction form
    1,023.29/1,534.93 = 475.17/x
  3. Step 3: Cross multiply
    1,023.29x = 1,534.93 × 475.17
  4. Step 4: Simplify right side
    1,023.29x = 729,357.05
  5. Step 5: Solve for x
    x = 729,357.05/1,023.29
  6. Step 6: Final answer
    x = 712.76

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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.