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Finding the Fourth Proportional to 693.07, 956.54 and 471.94

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Solution

The fourth proportional to 693.07, 956.54 and 471.94 is: 651.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.07 : 956.54 = 471.94 : x
  2. Step 2: Convert to fraction form
    693.07/956.54 = 471.94/x
  3. Step 3: Cross multiply
    693.07x = 956.54 × 471.94
  4. Step 4: Simplify right side
    693.07x = 451,424.74
  5. Step 5: Solve for x
    x = 451,424.74/693.07
  6. Step 6: Final answer
    x = 651.34

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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.