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Finding the Fourth Proportional to 1,356.30, 2,034.45 and 809.10

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Solution

The fourth proportional to 1,356.30, 2,034.45 and 809.10 is: 1,213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.30 : 2,034.45 = 809.10 : x
  2. Step 2: Convert to fraction form
    1,356.30/2,034.45 = 809.10/x
  3. Step 3: Cross multiply
    1,356.30x = 2,034.45 × 809.10
  4. Step 4: Simplify right side
    1,356.30x = 1,646,073.50
  5. Step 5: Solve for x
    x = 1,646,073.50/1,356.30
  6. Step 6: Final answer
    x = 1,213.65

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.