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Finding the Fourth Proportional to 835.96, 1,153.65 and 462.94

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Solution

The fourth proportional to 835.96, 1,153.65 and 462.94 is: 638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.96 : 1,153.65 = 462.94 : x
  2. Step 2: Convert to fraction form
    835.96/1,153.65 = 462.94/x
  3. Step 3: Cross multiply
    835.96x = 1,153.65 × 462.94
  4. Step 4: Simplify right side
    835.96x = 534,070.73
  5. Step 5: Solve for x
    x = 534,070.73/835.96
  6. Step 6: Final answer
    x = 638.87

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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.