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Finding the Fourth Proportional to 698.13, 1,044.89 and 673.53

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Solution

The fourth proportional to 698.13, 1,044.89 and 673.53 is: 1,008.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.13 : 1,044.89 = 673.53 : x
  2. Step 2: Convert to fraction form
    698.13/1,044.89 = 673.53/x
  3. Step 3: Cross multiply
    698.13x = 1,044.89 × 673.53
  4. Step 4: Simplify right side
    698.13x = 703,762.65
  5. Step 5: Solve for x
    x = 703,762.65/698.13
  6. Step 6: Final answer
    x = 1,008.07

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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.