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Finding the Fourth Proportional to 931.39, 1,284.94 and 577.19

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Solution

The fourth proportional to 931.39, 1,284.94 and 577.19 is: 796.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.39 : 1,284.94 = 577.19 : x
  2. Step 2: Convert to fraction form
    931.39/1,284.94 = 577.19/x
  3. Step 3: Cross multiply
    931.39x = 1,284.94 × 577.19
  4. Step 4: Simplify right side
    931.39x = 741,658.45
  5. Step 5: Solve for x
    x = 741,658.45/931.39
  6. Step 6: Final answer
    x = 796.29

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1.5x scale

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.