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Finding the Fourth Proportional to 662.94, 992.58 and 500.13

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Solution

The fourth proportional to 662.94, 992.58 and 500.13 is: 748.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.94 : 992.58 = 500.13 : x
  2. Step 2: Convert to fraction form
    662.94/992.58 = 500.13/x
  3. Step 3: Cross multiply
    662.94x = 992.58 × 500.13
  4. Step 4: Simplify right side
    662.94x = 496,419.04
  5. Step 5: Solve for x
    x = 496,419.04/662.94
  6. Step 6: Final answer
    x = 748.81

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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.