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Finding the Fourth Proportional to 1,230.22, 1,697.29 and 699.05

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Solution

The fourth proportional to 1,230.22, 1,697.29 and 699.05 is: 964.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.22 : 1,697.29 = 699.05 : x
  2. Step 2: Convert to fraction form
    1,230.22/1,697.29 = 699.05/x
  3. Step 3: Cross multiply
    1,230.22x = 1,697.29 × 699.05
  4. Step 4: Simplify right side
    1,230.22x = 1,186,493.07
  5. Step 5: Solve for x
    x = 1,186,493.07/1,230.22
  6. Step 6: Final answer
    x = 964.46

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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.