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Finding the Fourth Proportional to 820.08, 1,131.81 and 598.92

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Solution

The fourth proportional to 820.08, 1,131.81 and 598.92 is: 826.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.08 : 1,131.81 = 598.92 : x
  2. Step 2: Convert to fraction form
    820.08/1,131.81 = 598.92/x
  3. Step 3: Cross multiply
    820.08x = 1,131.81 × 598.92
  4. Step 4: Simplify right side
    820.08x = 677,863.65
  5. Step 5: Solve for x
    x = 677,863.65/820.08
  6. Step 6: Final answer
    x = 826.58

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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.