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Finding the Fourth Proportional to 815.34, 1,223.48 and 808.74

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Solution

The fourth proportional to 815.34, 1,223.48 and 808.74 is: 1,213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.34 : 1,223.48 = 808.74 : x
  2. Step 2: Convert to fraction form
    815.34/1,223.48 = 808.74/x
  3. Step 3: Cross multiply
    815.34x = 1,223.48 × 808.74
  4. Step 4: Simplify right side
    815.34x = 989,477.22
  5. Step 5: Solve for x
    x = 989,477.22/815.34
  6. Step 6: Final answer
    x = 1,213.58

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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.