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Finding the Fourth Proportional to 795.76, 1,192.92 and 552.40

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Solution

The fourth proportional to 795.76, 1,192.92 and 552.40 is: 828.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.76 : 1,192.92 = 552.40 : x
  2. Step 2: Convert to fraction form
    795.76/1,192.92 = 552.40/x
  3. Step 3: Cross multiply
    795.76x = 1,192.92 × 552.40
  4. Step 4: Simplify right side
    795.76x = 658,969.01
  5. Step 5: Solve for x
    x = 658,969.01/795.76
  6. Step 6: Final answer
    x = 828.10

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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.