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Finding the Fourth Proportional to 785.07, 1,174.41 and 522.63

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Solution

The fourth proportional to 785.07, 1,174.41 and 522.63 is: 781.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.07 : 1,174.41 = 522.63 : x
  2. Step 2: Convert to fraction form
    785.07/1,174.41 = 522.63/x
  3. Step 3: Cross multiply
    785.07x = 1,174.41 × 522.63
  4. Step 4: Simplify right side
    785.07x = 613,781.90
  5. Step 5: Solve for x
    x = 613,781.90/785.07
  6. Step 6: Final answer
    x = 781.82

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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.