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Finding the Fourth Proportional to 697.59, 961.34 and 522.63

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Solution

The fourth proportional to 697.59, 961.34 and 522.63 is: 720.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.59 : 961.34 = 522.63 : x
  2. Step 2: Convert to fraction form
    697.59/961.34 = 522.63/x
  3. Step 3: Cross multiply
    697.59x = 961.34 × 522.63
  4. Step 4: Simplify right side
    697.59x = 502,422.51
  5. Step 5: Solve for x
    x = 502,422.51/697.59
  6. Step 6: Final answer
    x = 720.23

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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.