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Finding the Fourth Proportional to 815.96, 1,223.98 and 425.41

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Solution

The fourth proportional to 815.96, 1,223.98 and 425.41 is: 638.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.96 : 1,223.98 = 425.41 : x
  2. Step 2: Convert to fraction form
    815.96/1,223.98 = 425.41/x
  3. Step 3: Cross multiply
    815.96x = 1,223.98 × 425.41
  4. Step 4: Simplify right side
    815.96x = 520,689.21
  5. Step 5: Solve for x
    x = 520,689.21/815.96
  6. Step 6: Final answer
    x = 638.13

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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.