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Finding the Fourth Proportional to 1,224.68, 1,690.38 and 759.32

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Solution

The fourth proportional to 1,224.68, 1,690.38 and 759.32 is: 1,048.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.68 : 1,690.38 = 759.32 : x
  2. Step 2: Convert to fraction form
    1,224.68/1,690.38 = 759.32/x
  3. Step 3: Cross multiply
    1,224.68x = 1,690.38 × 759.32
  4. Step 4: Simplify right side
    1,224.68x = 1,283,539.34
  5. Step 5: Solve for x
    x = 1,283,539.34/1,224.68
  6. Step 6: Final answer
    x = 1,048.06

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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.