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Finding the Fourth Proportional to 835.60, 1,153.02 and 462.61

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Solution

The fourth proportional to 835.60, 1,153.02 and 462.61 is: 638.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.60 : 1,153.02 = 462.61 : x
  2. Step 2: Convert to fraction form
    835.60/1,153.02 = 462.61/x
  3. Step 3: Cross multiply
    835.60x = 1,153.02 × 462.61
  4. Step 4: Simplify right side
    835.60x = 533,398.58
  5. Step 5: Solve for x
    x = 533,398.58/835.60
  6. Step 6: Final answer
    x = 638.34

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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.