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Finding the Fourth Proportional to 697.71, 962.86 and 399.01

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Solution

The fourth proportional to 697.71, 962.86 and 399.01 is: 550.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.71 : 962.86 = 399.01 : x
  2. Step 2: Convert to fraction form
    697.71/962.86 = 399.01/x
  3. Step 3: Cross multiply
    697.71x = 962.86 × 399.01
  4. Step 4: Simplify right side
    697.71x = 384,187.16
  5. Step 5: Solve for x
    x = 384,187.16/697.71
  6. Step 6: Final answer
    x = 550.64

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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.