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Finding the Fourth Proportional to 795.55, 1,192.01 and 563.29

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Solution

The fourth proportional to 795.55, 1,192.01 and 563.29 is: 844.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.55 : 1,192.01 = 563.29 : x
  2. Step 2: Convert to fraction form
    795.55/1,192.01 = 563.29/x
  3. Step 3: Cross multiply
    795.55x = 1,192.01 × 563.29
  4. Step 4: Simplify right side
    795.55x = 671,447.31
  5. Step 5: Solve for x
    x = 671,447.31/795.55
  6. Step 6: Final answer
    x = 844.00

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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.