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Finding the Fourth Proportional to 756.42, 1,133.14 and 522.12

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Solution

The fourth proportional to 756.42, 1,133.14 and 522.12 is: 782.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.42 : 1,133.14 = 522.12 : x
  2. Step 2: Convert to fraction form
    756.42/1,133.14 = 522.12/x
  3. Step 3: Cross multiply
    756.42x = 1,133.14 × 522.12
  4. Step 4: Simplify right side
    756.42x = 591,635.06
  5. Step 5: Solve for x
    x = 591,635.06/756.42
  6. Step 6: Final answer
    x = 782.15

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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.