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Finding the Fourth Proportional to 746.14, 1,028.90 and 522.28

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Solution

The fourth proportional to 746.14, 1,028.90 and 522.28 is: 720.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.14 : 1,028.90 = 522.28 : x
  2. Step 2: Convert to fraction form
    746.14/1,028.90 = 522.28/x
  3. Step 3: Cross multiply
    746.14x = 1,028.90 × 522.28
  4. Step 4: Simplify right side
    746.14x = 537,366.14
  5. Step 5: Solve for x
    x = 537,366.14/746.14
  6. Step 6: Final answer
    x = 720.19

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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.