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Finding the Fourth Proportional to 697.82, 962.87 and 403.11

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Solution

The fourth proportional to 697.82, 962.87 and 403.11 is: 556.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.82 : 962.87 = 403.11 : x
  2. Step 2: Convert to fraction form
    697.82/962.87 = 403.11/x
  3. Step 3: Cross multiply
    697.82x = 962.87 × 403.11
  4. Step 4: Simplify right side
    697.82x = 388,140.51
  5. Step 5: Solve for x
    x = 388,140.51/697.82
  6. Step 6: Final answer
    x = 556.22

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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.