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Finding the Fourth Proportional to 700.94, 965.76 and 467.66

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Solution

The fourth proportional to 700.94, 965.76 and 467.66 is: 644.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.94 : 965.76 = 467.66 : x
  2. Step 2: Convert to fraction form
    700.94/965.76 = 467.66/x
  3. Step 3: Cross multiply
    700.94x = 965.76 × 467.66
  4. Step 4: Simplify right side
    700.94x = 451,642.49
  5. Step 5: Solve for x
    x = 451,642.49/700.94
  6. Step 6: Final answer
    x = 644.34

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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.