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Finding the Fourth Proportional to 691.03, 954.48 and 470.98

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Solution

The fourth proportional to 691.03, 954.48 and 470.98 is: 650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.03 : 954.48 = 470.98 : x
  2. Step 2: Convert to fraction form
    691.03/954.48 = 470.98/x
  3. Step 3: Cross multiply
    691.03x = 954.48 × 470.98
  4. Step 4: Simplify right side
    691.03x = 449,540.99
  5. Step 5: Solve for x
    x = 449,540.99/691.03
  6. Step 6: Final answer
    x = 650.54

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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.