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Finding the Fourth Proportional to 703.45, 969.85 and 454.33

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Solution

The fourth proportional to 703.45, 969.85 and 454.33 is: 626.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.45 : 969.85 = 454.33 : x
  2. Step 2: Convert to fraction form
    703.45/969.85 = 454.33/x
  3. Step 3: Cross multiply
    703.45x = 969.85 × 454.33
  4. Step 4: Simplify right side
    703.45x = 440,631.95
  5. Step 5: Solve for x
    x = 440,631.95/703.45
  6. Step 6: Final answer
    x = 626.39

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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.