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Finding the Fourth Proportional to 1,023.88, 1,534.82 and 476.44

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Solution

The fourth proportional to 1,023.88, 1,534.82 and 476.44 is: 714.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.88 : 1,534.82 = 476.44 : x
  2. Step 2: Convert to fraction form
    1,023.88/1,534.82 = 476.44/x
  3. Step 3: Cross multiply
    1,023.88x = 1,534.82 × 476.44
  4. Step 4: Simplify right side
    1,023.88x = 731,249.64
  5. Step 5: Solve for x
    x = 731,249.64/1,023.88
  6. Step 6: Final answer
    x = 714.19

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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.