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Finding the Fourth Proportional to 1,207.92, 1,665.96 and 788.24

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Solution

The fourth proportional to 1,207.92, 1,665.96 and 788.24 is: 1,087.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.92 : 1,665.96 = 788.24 : x
  2. Step 2: Convert to fraction form
    1,207.92/1,665.96 = 788.24/x
  3. Step 3: Cross multiply
    1,207.92x = 1,665.96 × 788.24
  4. Step 4: Simplify right side
    1,207.92x = 1,313,176.31
  5. Step 5: Solve for x
    x = 1,313,176.31/1,207.92
  6. Step 6: Final answer
    x = 1,087.14

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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.