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Finding the Fourth Proportional to 697.54, 962.67 and 498.73

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Solution

The fourth proportional to 697.54, 962.67 and 498.73 is: 688.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.54 : 962.67 = 498.73 : x
  2. Step 2: Convert to fraction form
    697.54/962.67 = 498.73/x
  3. Step 3: Cross multiply
    697.54x = 962.67 × 498.73
  4. Step 4: Simplify right side
    697.54x = 480,112.41
  5. Step 5: Solve for x
    x = 480,112.41/697.54
  6. Step 6: Final answer
    x = 688.29

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1.5x scale

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.