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Finding the Fourth Proportional to 1,310.67, 1,808.73 and 786.71

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Solution

The fourth proportional to 1,310.67, 1,808.73 and 786.71 is: 1,085.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.67 : 1,808.73 = 786.71 : x
  2. Step 2: Convert to fraction form
    1,310.67/1,808.73 = 786.71/x
  3. Step 3: Cross multiply
    1,310.67x = 1,808.73 × 786.71
  4. Step 4: Simplify right side
    1,310.67x = 1,422,936.93
  5. Step 5: Solve for x
    x = 1,422,936.93/1,310.67
  6. Step 6: Final answer
    x = 1,085.66

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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.