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Finding the Fourth Proportional to 754.90, 1,130.62 and 522.74

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Solution

The fourth proportional to 754.90, 1,130.62 and 522.74 is: 782.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.90 : 1,130.62 = 522.74 : x
  2. Step 2: Convert to fraction form
    754.90/1,130.62 = 522.74/x
  3. Step 3: Cross multiply
    754.90x = 1,130.62 × 522.74
  4. Step 4: Simplify right side
    754.90x = 591,020.30
  5. Step 5: Solve for x
    x = 591,020.30/754.90
  6. Step 6: Final answer
    x = 782.91

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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.