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Finding the Fourth Proportional to 1,084.28, 1,626.48 and 507.56

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Solution

The fourth proportional to 1,084.28, 1,626.48 and 507.56 is: 761.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.28 : 1,626.48 = 507.56 : x
  2. Step 2: Convert to fraction form
    1,084.28/1,626.48 = 507.56/x
  3. Step 3: Cross multiply
    1,084.28x = 1,626.48 × 507.56
  4. Step 4: Simplify right side
    1,084.28x = 825,536.19
  5. Step 5: Solve for x
    x = 825,536.19/1,084.28
  6. Step 6: Final answer
    x = 761.37

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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.