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Finding the Fourth Proportional to 815.19, 1,125.08 and 566.37

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Solution

The fourth proportional to 815.19, 1,125.08 and 566.37 is: 781.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.19 : 1,125.08 = 566.37 : x
  2. Step 2: Convert to fraction form
    815.19/1,125.08 = 566.37/x
  3. Step 3: Cross multiply
    815.19x = 1,125.08 × 566.37
  4. Step 4: Simplify right side
    815.19x = 637,208.73
  5. Step 5: Solve for x
    x = 637,208.73/815.19
  6. Step 6: Final answer
    x = 781.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.