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Finding the Fourth Proportional to 691.86, 954.69 and 471.09

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Solution

The fourth proportional to 691.86, 954.69 and 471.09 is: 650.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.86 : 954.69 = 471.09 : x
  2. Step 2: Convert to fraction form
    691.86/954.69 = 471.09/x
  3. Step 3: Cross multiply
    691.86x = 954.69 × 471.09
  4. Step 4: Simplify right side
    691.86x = 449,744.91
  5. Step 5: Solve for x
    x = 449,744.91/691.86
  6. Step 6: Final answer
    x = 650.05

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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.