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Finding the Fourth Proportional to 703.82, 970.89 and 494.32

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Solution

The fourth proportional to 703.82, 970.89 and 494.32 is: 681.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.82 : 970.89 = 494.32 : x
  2. Step 2: Convert to fraction form
    703.82/970.89 = 494.32/x
  3. Step 3: Cross multiply
    703.82x = 970.89 × 494.32
  4. Step 4: Simplify right side
    703.82x = 479,927.88
  5. Step 5: Solve for x
    x = 479,927.88/703.82
  6. Step 6: Final answer
    x = 681.89

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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.