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Finding the Fourth Proportional to 817.82, 1,225.58 and 695.60

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Solution

The fourth proportional to 817.82, 1,225.58 and 695.60 is: 1,042.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.82 : 1,225.58 = 695.60 : x
  2. Step 2: Convert to fraction form
    817.82/1,225.58 = 695.60/x
  3. Step 3: Cross multiply
    817.82x = 1,225.58 × 695.60
  4. Step 4: Simplify right side
    817.82x = 852,514.07
  5. Step 5: Solve for x
    x = 852,514.07/817.82
  6. Step 6: Final answer
    x = 1,042.42

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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.