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Finding the Fourth Proportional to 693, 955.80 and 472.23

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Solution

The fourth proportional to 693, 955.80 and 472.23 is: 651.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    693 : 955.80 = 472.23 : x
  2. Step 2: Convert to fraction form
    693/955.80 = 472.23/x
  3. Step 3: Cross multiply
    693x = 955.80 × 472.23
  4. Step 4: Simplify right side
    693x = 451,357.43
  5. Step 5: Solve for x
    x = 451,357.43/693
  6. Step 6: Final answer
    x = 651.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.