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Finding the Fourth Proportional to 697.01, 962.87 and 556.94

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Solution

The fourth proportional to 697.01, 962.87 and 556.94 is: 769.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.01 : 962.87 = 556.94 : x
  2. Step 2: Convert to fraction form
    697.01/962.87 = 556.94/x
  3. Step 3: Cross multiply
    697.01x = 962.87 × 556.94
  4. Step 4: Simplify right side
    697.01x = 536,260.82
  5. Step 5: Solve for x
    x = 536,260.82/697.01
  6. Step 6: Final answer
    x = 769.38

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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.