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Finding the Fourth Proportional to 1,224.15, 1,688.70 and 775.26

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Solution

The fourth proportional to 1,224.15, 1,688.70 and 775.26 is: 1,069.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.15 : 1,688.70 = 775.26 : x
  2. Step 2: Convert to fraction form
    1,224.15/1,688.70 = 775.26/x
  3. Step 3: Cross multiply
    1,224.15x = 1,688.70 × 775.26
  4. Step 4: Simplify right side
    1,224.15x = 1,309,181.56
  5. Step 5: Solve for x
    x = 1,309,181.56/1,224.15
  6. Step 6: Final answer
    x = 1,069.46

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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.