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Finding the Fourth Proportional to 833.34, 1,149.87 and 484.02

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Solution

The fourth proportional to 833.34, 1,149.87 and 484.02 is: 667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.34 : 1,149.87 = 484.02 : x
  2. Step 2: Convert to fraction form
    833.34/1,149.87 = 484.02/x
  3. Step 3: Cross multiply
    833.34x = 1,149.87 × 484.02
  4. Step 4: Simplify right side
    833.34x = 556,560.08
  5. Step 5: Solve for x
    x = 556,560.08/833.34
  6. Step 6: Final answer
    x = 667.87

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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.