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Finding the Fourth Proportional to 697.57, 961.66 and 498.35

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Solution

The fourth proportional to 697.57, 961.66 and 498.35 is: 687.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.57 : 961.66 = 498.35 : x
  2. Step 2: Convert to fraction form
    697.57/961.66 = 498.35/x
  3. Step 3: Cross multiply
    697.57x = 961.66 × 498.35
  4. Step 4: Simplify right side
    697.57x = 479,239.50
  5. Step 5: Solve for x
    x = 479,239.50/697.57
  6. Step 6: Final answer
    x = 687.01

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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.