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Finding the Fourth Proportional to 847.08, 1,167.75 and 552.24

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Solution

The fourth proportional to 847.08, 1,167.75 and 552.24 is: 761.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.08 : 1,167.75 = 552.24 : x
  2. Step 2: Convert to fraction form
    847.08/1,167.75 = 552.24/x
  3. Step 3: Cross multiply
    847.08x = 1,167.75 × 552.24
  4. Step 4: Simplify right side
    847.08x = 644,878.26
  5. Step 5: Solve for x
    x = 644,878.26/847.08
  6. Step 6: Final answer
    x = 761.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.