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Finding the Fourth Proportional to 669.68, 924.41 and 599.62

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Solution

The fourth proportional to 669.68, 924.41 and 599.62 is: 827.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.68 : 924.41 = 599.62 : x
  2. Step 2: Convert to fraction form
    669.68/924.41 = 599.62/x
  3. Step 3: Cross multiply
    669.68x = 924.41 × 599.62
  4. Step 4: Simplify right side
    669.68x = 554,293.91
  5. Step 5: Solve for x
    x = 554,293.91/669.68
  6. Step 6: Final answer
    x = 827.70

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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.