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Finding the Fourth Proportional to 743, 1,023.72 and 521.33

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Solution

The fourth proportional to 743, 1,023.72 and 521.33 is: 718.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    743 : 1,023.72 = 521.33 : x
  2. Step 2: Convert to fraction form
    743/1,023.72 = 521.33/x
  3. Step 3: Cross multiply
    743x = 1,023.72 × 521.33
  4. Step 4: Simplify right side
    743x = 533,695.95
  5. Step 5: Solve for x
    x = 533,695.95/743
  6. Step 6: Final answer
    x = 718.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.