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Finding the Fourth Proportional to 934.34, 1,401.82 and 471.74

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Solution

The fourth proportional to 934.34, 1,401.82 and 471.74 is: 707.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.34 : 1,401.82 = 471.74 : x
  2. Step 2: Convert to fraction form
    934.34/1,401.82 = 471.74/x
  3. Step 3: Cross multiply
    934.34x = 1,401.82 × 471.74
  4. Step 4: Simplify right side
    934.34x = 661,286.38
  5. Step 5: Solve for x
    x = 661,286.38/934.34
  6. Step 6: Final answer
    x = 707.76

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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.