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Finding the Fourth Proportional to 697.48, 1,040.57 and 634.60

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Solution

The fourth proportional to 697.48, 1,040.57 and 634.60 is: 946.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.48 : 1,040.57 = 634.60 : x
  2. Step 2: Convert to fraction form
    697.48/1,040.57 = 634.60/x
  3. Step 3: Cross multiply
    697.48x = 1,040.57 × 634.60
  4. Step 4: Simplify right side
    697.48x = 660,345.72
  5. Step 5: Solve for x
    x = 660,345.72/697.48
  6. Step 6: Final answer
    x = 946.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.