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Finding the Fourth Proportional to 835.99, 1,153.67 and 462.97

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Solution

The fourth proportional to 835.99, 1,153.67 and 462.97 is: 638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.99 : 1,153.67 = 462.97 : x
  2. Step 2: Convert to fraction form
    835.99/1,153.67 = 462.97/x
  3. Step 3: Cross multiply
    835.99x = 1,153.67 × 462.97
  4. Step 4: Simplify right side
    835.99x = 534,117.31
  5. Step 5: Solve for x
    x = 534,117.31/835.99
  6. Step 6: Final answer
    x = 638.91

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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.