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Finding the Fourth Proportional to 694.71, 959.07 and 537.00

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Solution

The fourth proportional to 694.71, 959.07 and 537.00 is: 741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.71 : 959.07 = 537.00 : x
  2. Step 2: Convert to fraction form
    694.71/959.07 = 537.00/x
  3. Step 3: Cross multiply
    694.71x = 959.07 × 537.00
  4. Step 4: Simplify right side
    694.71x = 515,019.01
  5. Step 5: Solve for x
    x = 515,019.01/694.71
  6. Step 6: Final answer
    x = 741.34

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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.