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Finding the Fourth Proportional to 934.82, 1,402.43 and 466.55

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Solution

The fourth proportional to 934.82, 1,402.43 and 466.55 is: 699.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.82 : 1,402.43 = 466.55 : x
  2. Step 2: Convert to fraction form
    934.82/1,402.43 = 466.55/x
  3. Step 3: Cross multiply
    934.82x = 1,402.43 × 466.55
  4. Step 4: Simplify right side
    934.82x = 654,303.72
  5. Step 5: Solve for x
    x = 654,303.72/934.82
  6. Step 6: Final answer
    x = 699.92

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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.