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Finding the Fourth Proportional to 757.22, 1,044.63 and 491.67

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Solution

The fourth proportional to 757.22, 1,044.63 and 491.67 is: 678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.22 : 1,044.63 = 491.67 : x
  2. Step 2: Convert to fraction form
    757.22/1,044.63 = 491.67/x
  3. Step 3: Cross multiply
    757.22x = 1,044.63 × 491.67
  4. Step 4: Simplify right side
    757.22x = 513,613.23
  5. Step 5: Solve for x
    x = 513,613.23/757.22
  6. Step 6: Final answer
    x = 678.29

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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.