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Finding the Fourth Proportional to 804.88, 1,206.92 and 561.52

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Solution

The fourth proportional to 804.88, 1,206.92 and 561.52 is: 842.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.88 : 1,206.92 = 561.52 : x
  2. Step 2: Convert to fraction form
    804.88/1,206.92 = 561.52/x
  3. Step 3: Cross multiply
    804.88x = 1,206.92 × 561.52
  4. Step 4: Simplify right side
    804.88x = 677,709.72
  5. Step 5: Solve for x
    x = 677,709.72/804.88
  6. Step 6: Final answer
    x = 842.00

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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.