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Finding the Fourth Proportional to 703.62, 970.70 and 454.97

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Solution

The fourth proportional to 703.62, 970.70 and 454.97 is: 627.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.62 : 970.70 = 454.97 : x
  2. Step 2: Convert to fraction form
    703.62/970.70 = 454.97/x
  3. Step 3: Cross multiply
    703.62x = 970.70 × 454.97
  4. Step 4: Simplify right side
    703.62x = 441,632.25
  5. Step 5: Solve for x
    x = 441,632.25/703.62
  6. Step 6: Final answer
    x = 627.66

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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.