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Finding the Fourth Proportional to 662.79, 993.71 and 500.07

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Solution

The fourth proportional to 662.79, 993.71 and 500.07 is: 749.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.79 : 993.71 = 500.07 : x
  2. Step 2: Convert to fraction form
    662.79/993.71 = 500.07/x
  3. Step 3: Cross multiply
    662.79x = 993.71 × 500.07
  4. Step 4: Simplify right side
    662.79x = 496,922.06
  5. Step 5: Solve for x
    x = 496,922.06/662.79
  6. Step 6: Final answer
    x = 749.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.