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Finding the Fourth Proportional to 703.18, 969.42 and 493.03

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Solution

The fourth proportional to 703.18, 969.42 and 493.03 is: 679.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.18 : 969.42 = 493.03 : x
  2. Step 2: Convert to fraction form
    703.18/969.42 = 493.03/x
  3. Step 3: Cross multiply
    703.18x = 969.42 × 493.03
  4. Step 4: Simplify right side
    703.18x = 477,953.14
  5. Step 5: Solve for x
    x = 477,953.14/703.18
  6. Step 6: Final answer
    x = 679.70

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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.