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Finding the Fourth Proportional to 906.38, 1,249.71 and 766.25

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Solution

The fourth proportional to 906.38, 1,249.71 and 766.25 is: 1,056.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.38 : 1,249.71 = 766.25 : x
  2. Step 2: Convert to fraction form
    906.38/1,249.71 = 766.25/x
  3. Step 3: Cross multiply
    906.38x = 1,249.71 × 766.25
  4. Step 4: Simplify right side
    906.38x = 957,590.29
  5. Step 5: Solve for x
    x = 957,590.29/906.38
  6. Step 6: Final answer
    x = 1,056.50

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Double scale
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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.