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Finding the Fourth Proportional to 723.06, 996.66 and 590.83

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Solution

The fourth proportional to 723.06, 996.66 and 590.83 is: 814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.06 : 996.66 = 590.83 : x
  2. Step 2: Convert to fraction form
    723.06/996.66 = 590.83/x
  3. Step 3: Cross multiply
    723.06x = 996.66 × 590.83
  4. Step 4: Simplify right side
    723.06x = 588,854.14
  5. Step 5: Solve for x
    x = 588,854.14/723.06
  6. Step 6: Final answer
    x = 814.39

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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.