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Finding the Fourth Proportional to 833.33, 1,249.03 and 598.80

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Solution

The fourth proportional to 833.33, 1,249.03 and 598.80 is: 897.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.33 : 1,249.03 = 598.80 : x
  2. Step 2: Convert to fraction form
    833.33/1,249.03 = 598.80/x
  3. Step 3: Cross multiply
    833.33x = 1,249.03 × 598.80
  4. Step 4: Simplify right side
    833.33x = 747,919.16
  5. Step 5: Solve for x
    x = 747,919.16/833.33
  6. Step 6: Final answer
    x = 897.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.