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Finding the Fourth Proportional to 1,803.24, 2,705.92 and 763.16

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Solution

The fourth proportional to 1,803.24, 2,705.92 and 763.16 is: 1,145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.24 : 2,705.92 = 763.16 : x
  2. Step 2: Convert to fraction form
    1,803.24/2,705.92 = 763.16/x
  3. Step 3: Cross multiply
    1,803.24x = 2,705.92 × 763.16
  4. Step 4: Simplify right side
    1,803.24x = 2,065,049.91
  5. Step 5: Solve for x
    x = 2,065,049.91/1,803.24
  6. Step 6: Final answer
    x = 1,145.19

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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.