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Finding the Fourth Proportional to 815.29, 1,222.93 and 572.90

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Solution

The fourth proportional to 815.29, 1,222.93 and 572.90 is: 859.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.29 : 1,222.93 = 572.90 : x
  2. Step 2: Convert to fraction form
    815.29/1,222.93 = 572.90/x
  3. Step 3: Cross multiply
    815.29x = 1,222.93 × 572.90
  4. Step 4: Simplify right side
    815.29x = 700,610.48
  5. Step 5: Solve for x
    x = 700,610.48/815.29
  6. Step 6: Final answer
    x = 859.34

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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.