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Finding the Fourth Proportional to 783.90, 1,174.14 and 567

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Solution

The fourth proportional to 783.90, 1,174.14 and 567 is: 849.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.90 : 1,174.14 = 567 : x
  2. Step 2: Convert to fraction form
    783.90/1,174.14 = 567/x
  3. Step 3: Cross multiply
    783.90x = 1,174.14 × 567
  4. Step 4: Simplify right side
    783.90x = 665,737.38
  5. Step 5: Solve for x
    x = 665,737.38/783.90
  6. Step 6: Final answer
    x = 849.26

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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.