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Finding the Fourth Proportional to 697.84, 962.74 and 436.03

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Solution

The fourth proportional to 697.84, 962.74 and 436.03 is: 601.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.84 : 962.74 = 436.03 : x
  2. Step 2: Convert to fraction form
    697.84/962.74 = 436.03/x
  3. Step 3: Cross multiply
    697.84x = 962.74 × 436.03
  4. Step 4: Simplify right side
    697.84x = 419,783.52
  5. Step 5: Solve for x
    x = 419,783.52/697.84
  6. Step 6: Final answer
    x = 601.55

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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.