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Finding the Fourth Proportional to 663.17, 914.00 and 586.79

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Solution

The fourth proportional to 663.17, 914.00 and 586.79 is: 808.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.17 : 914.00 = 586.79 : x
  2. Step 2: Convert to fraction form
    663.17/914.00 = 586.79/x
  3. Step 3: Cross multiply
    663.17x = 914.00 × 586.79
  4. Step 4: Simplify right side
    663.17x = 536,329.81
  5. Step 5: Solve for x
    x = 536,329.81/663.17
  6. Step 6: Final answer
    x = 808.73

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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.