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Finding the Fourth Proportional to 1,230.32, 1,697.90 and 699.17

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Solution

The fourth proportional to 1,230.32, 1,697.90 and 699.17 is: 964.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.32 : 1,697.90 = 699.17 : x
  2. Step 2: Convert to fraction form
    1,230.32/1,697.90 = 699.17/x
  3. Step 3: Cross multiply
    1,230.32x = 1,697.90 × 699.17
  4. Step 4: Simplify right side
    1,230.32x = 1,187,108.76
  5. Step 5: Solve for x
    x = 1,187,108.76/1,230.32
  6. Step 6: Final answer
    x = 964.88

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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.