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Finding the Fourth Proportional to 699.69, 966.06 and 478.56

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Solution

The fourth proportional to 699.69, 966.06 and 478.56 is: 660.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.69 : 966.06 = 478.56 : x
  2. Step 2: Convert to fraction form
    699.69/966.06 = 478.56/x
  3. Step 3: Cross multiply
    699.69x = 966.06 × 478.56
  4. Step 4: Simplify right side
    699.69x = 462,317.67
  5. Step 5: Solve for x
    x = 462,317.67/699.69
  6. Step 6: Final answer
    x = 660.75

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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.