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Finding the Fourth Proportional to 738.90, 1,107.12 and 522.03

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Solution

The fourth proportional to 738.90, 1,107.12 and 522.03 is: 782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.90 : 1,107.12 = 522.03 : x
  2. Step 2: Convert to fraction form
    738.90/1,107.12 = 522.03/x
  3. Step 3: Cross multiply
    738.90x = 1,107.12 × 522.03
  4. Step 4: Simplify right side
    738.90x = 577,949.85
  5. Step 5: Solve for x
    x = 577,949.85/738.90
  6. Step 6: Final answer
    x = 782.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.