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Finding the Fourth Proportional to 1,380.37, 2,069.91 and 502.26

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Solution

The fourth proportional to 1,380.37, 2,069.91 and 502.26 is: 753.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.37 : 2,069.91 = 502.26 : x
  2. Step 2: Convert to fraction form
    1,380.37/2,069.91 = 502.26/x
  3. Step 3: Cross multiply
    1,380.37x = 2,069.91 × 502.26
  4. Step 4: Simplify right side
    1,380.37x = 1,039,633.00
  5. Step 5: Solve for x
    x = 1,039,633.00/1,380.37
  6. Step 6: Final answer
    x = 753.16

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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.