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Finding the Fourth Proportional to 934.64, 1,402.77 and 447.83

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Solution

The fourth proportional to 934.64, 1,402.77 and 447.83 is: 672.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.64 : 1,402.77 = 447.83 : x
  2. Step 2: Convert to fraction form
    934.64/1,402.77 = 447.83/x
  3. Step 3: Cross multiply
    934.64x = 1,402.77 × 447.83
  4. Step 4: Simplify right side
    934.64x = 628,202.49
  5. Step 5: Solve for x
    x = 628,202.49/934.64
  6. Step 6: Final answer
    x = 672.13

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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.