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Finding the Fourth Proportional to 690.70, 1,033.71 and 680.98

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Solution

The fourth proportional to 690.70, 1,033.71 and 680.98 is: 1,019.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.70 : 1,033.71 = 680.98 : x
  2. Step 2: Convert to fraction form
    690.70/1,033.71 = 680.98/x
  3. Step 3: Cross multiply
    690.70x = 1,033.71 × 680.98
  4. Step 4: Simplify right side
    690.70x = 703,935.84
  5. Step 5: Solve for x
    x = 703,935.84/690.70
  6. Step 6: Final answer
    x = 1,019.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.