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Finding the Fourth Proportional to 697.92, 962.70 and 435.89

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Solution

The fourth proportional to 697.92, 962.70 and 435.89 is: 601.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.92 : 962.70 = 435.89 : x
  2. Step 2: Convert to fraction form
    697.92/962.70 = 435.89/x
  3. Step 3: Cross multiply
    697.92x = 962.70 × 435.89
  4. Step 4: Simplify right side
    697.92x = 419,626.49
  5. Step 5: Solve for x
    x = 419,626.49/697.92
  6. Step 6: Final answer
    x = 601.25

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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.