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Finding the Fourth Proportional to 703.62, 969.48 and 506.79

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Solution

The fourth proportional to 703.62, 969.48 and 506.79 is: 698.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.62 : 969.48 = 506.79 : x
  2. Step 2: Convert to fraction form
    703.62/969.48 = 506.79/x
  3. Step 3: Cross multiply
    703.62x = 969.48 × 506.79
  4. Step 4: Simplify right side
    703.62x = 491,322.77
  5. Step 5: Solve for x
    x = 491,322.77/703.62
  6. Step 6: Final answer
    x = 698.28

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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.