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Finding the Fourth Proportional to 820.38, 1,131.69 and 525.33

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Solution

The fourth proportional to 820.38, 1,131.69 and 525.33 is: 724.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.38 : 1,131.69 = 525.33 : x
  2. Step 2: Convert to fraction form
    820.38/1,131.69 = 525.33/x
  3. Step 3: Cross multiply
    820.38x = 1,131.69 × 525.33
  4. Step 4: Simplify right side
    820.38x = 594,508.08
  5. Step 5: Solve for x
    x = 594,508.08/820.38
  6. Step 6: Final answer
    x = 724.67

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1.5x scale

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.