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Finding the Fourth Proportional to 815.40, 1,223.78 and 572.13

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Solution

The fourth proportional to 815.40, 1,223.78 and 572.13 is: 858.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.40 : 1,223.78 = 572.13 : x
  2. Step 2: Convert to fraction form
    815.40/1,223.78 = 572.13/x
  3. Step 3: Cross multiply
    815.40x = 1,223.78 × 572.13
  4. Step 4: Simplify right side
    815.40x = 700,158.39
  5. Step 5: Solve for x
    x = 700,158.39/815.40
  6. Step 6: Final answer
    x = 858.67

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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.