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Finding the Fourth Proportional to 1,310.90, 1,809.06 and 721.46

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Solution

The fourth proportional to 1,310.90, 1,809.06 and 721.46 is: 995.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.90 : 1,809.06 = 721.46 : x
  2. Step 2: Convert to fraction form
    1,310.90/1,809.06 = 721.46/x
  3. Step 3: Cross multiply
    1,310.90x = 1,809.06 × 721.46
  4. Step 4: Simplify right side
    1,310.90x = 1,305,164.43
  5. Step 5: Solve for x
    x = 1,305,164.43/1,310.90
  6. Step 6: Final answer
    x = 995.62

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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.