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Finding the Fourth Proportional to 931.05, 1,284.73 and 577.05

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Solution

The fourth proportional to 931.05, 1,284.73 and 577.05 is: 796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.05 : 1,284.73 = 577.05 : x
  2. Step 2: Convert to fraction form
    931.05/1,284.73 = 577.05/x
  3. Step 3: Cross multiply
    931.05x = 1,284.73 × 577.05
  4. Step 4: Simplify right side
    931.05x = 741,350.56
  5. Step 5: Solve for x
    x = 741,350.56/931.05
  6. Step 6: Final answer
    x = 796.25

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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.