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Finding the Fourth Proportional to 1,207.97, 1,667.27 and 684.17

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Solution

The fourth proportional to 1,207.97, 1,667.27 and 684.17 is: 944.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.97 : 1,667.27 = 684.17 : x
  2. Step 2: Convert to fraction form
    1,207.97/1,667.27 = 684.17/x
  3. Step 3: Cross multiply
    1,207.97x = 1,667.27 × 684.17
  4. Step 4: Simplify right side
    1,207.97x = 1,140,696.12
  5. Step 5: Solve for x
    x = 1,140,696.12/1,207.97
  6. Step 6: Final answer
    x = 944.31

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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.