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Finding the Fourth Proportional to 931.11, 1,397.09 and 498.25

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Solution

The fourth proportional to 931.11, 1,397.09 and 498.25 is: 747.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.11 : 1,397.09 = 498.25 : x
  2. Step 2: Convert to fraction form
    931.11/1,397.09 = 498.25/x
  3. Step 3: Cross multiply
    931.11x = 1,397.09 × 498.25
  4. Step 4: Simplify right side
    931.11x = 696,100.09
  5. Step 5: Solve for x
    x = 696,100.09/931.11
  6. Step 6: Final answer
    x = 747.60

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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.