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Finding the Fourth Proportional to 1,023.90, 1,534.78 and 475.63

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Solution

The fourth proportional to 1,023.90, 1,534.78 and 475.63 is: 712.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.90 : 1,534.78 = 475.63 : x
  2. Step 2: Convert to fraction form
    1,023.90/1,534.78 = 475.63/x
  3. Step 3: Cross multiply
    1,023.90x = 1,534.78 × 475.63
  4. Step 4: Simplify right side
    1,023.90x = 729,987.41
  5. Step 5: Solve for x
    x = 729,987.41/1,023.90
  6. Step 6: Final answer
    x = 712.95

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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.