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Finding the Fourth Proportional to 697.82, 962.79 and 435.74

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Solution

The fourth proportional to 697.82, 962.79 and 435.74 is: 601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.82 : 962.79 = 435.74 : x
  2. Step 2: Convert to fraction form
    697.82/962.79 = 435.74/x
  3. Step 3: Cross multiply
    697.82x = 962.79 × 435.74
  4. Step 4: Simplify right side
    697.82x = 419,526.11
  5. Step 5: Solve for x
    x = 419,526.11/697.82
  6. Step 6: Final answer
    x = 601.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.