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Finding the Fourth Proportional to 783.52, 1,174.33 and 552.06

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Solution

The fourth proportional to 783.52, 1,174.33 and 552.06 is: 827.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.52 : 1,174.33 = 552.06 : x
  2. Step 2: Convert to fraction form
    783.52/1,174.33 = 552.06/x
  3. Step 3: Cross multiply
    783.52x = 1,174.33 × 552.06
  4. Step 4: Simplify right side
    783.52x = 648,300.62
  5. Step 5: Solve for x
    x = 648,300.62/783.52
  6. Step 6: Final answer
    x = 827.42

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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.