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Finding the Fourth Proportional to 696.13, 1,035.99 and 670.21

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Solution

The fourth proportional to 696.13, 1,035.99 and 670.21 is: 997.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.13 : 1,035.99 = 670.21 : x
  2. Step 2: Convert to fraction form
    696.13/1,035.99 = 670.21/x
  3. Step 3: Cross multiply
    696.13x = 1,035.99 × 670.21
  4. Step 4: Simplify right side
    696.13x = 694,330.86
  5. Step 5: Solve for x
    x = 694,330.86/696.13
  6. Step 6: Final answer
    x = 997.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.