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Finding the Fourth Proportional to 835.76, 1,153.32 and 462.73

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Solution

The fourth proportional to 835.76, 1,153.32 and 462.73 is: 638.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.76 : 1,153.32 = 462.73 : x
  2. Step 2: Convert to fraction form
    835.76/1,153.32 = 462.73/x
  3. Step 3: Cross multiply
    835.76x = 1,153.32 × 462.73
  4. Step 4: Simplify right side
    835.76x = 533,675.76
  5. Step 5: Solve for x
    x = 533,675.76/835.76
  6. Step 6: Final answer
    x = 638.55

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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.