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Finding the Fourth Proportional to 931.96, 1,397.92 and 499.96

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Solution

The fourth proportional to 931.96, 1,397.92 and 499.96 is: 749.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.96 : 1,397.92 = 499.96 : x
  2. Step 2: Convert to fraction form
    931.96/1,397.92 = 499.96/x
  3. Step 3: Cross multiply
    931.96x = 1,397.92 × 499.96
  4. Step 4: Simplify right side
    931.96x = 698,904.08
  5. Step 5: Solve for x
    x = 698,904.08/931.96
  6. Step 6: Final answer
    x = 749.93

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