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Finding the Fourth Proportional to 690.70, 1,033.98 and 446.74

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Solution

The fourth proportional to 690.70, 1,033.98 and 446.74 is: 668.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.70 : 1,033.98 = 446.74 : x
  2. Step 2: Convert to fraction form
    690.70/1,033.98 = 446.74/x
  3. Step 3: Cross multiply
    690.70x = 1,033.98 × 446.74
  4. Step 4: Simplify right side
    690.70x = 461,920.23
  5. Step 5: Solve for x
    x = 461,920.23/690.70
  6. Step 6: Final answer
    x = 668.77

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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.