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Finding the Fourth Proportional to 844.76, 1,266.66 and 498.14

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Solution

The fourth proportional to 844.76, 1,266.66 and 498.14 is: 746.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.76 : 1,266.66 = 498.14 : x
  2. Step 2: Convert to fraction form
    844.76/1,266.66 = 498.14/x
  3. Step 3: Cross multiply
    844.76x = 1,266.66 × 498.14
  4. Step 4: Simplify right side
    844.76x = 630,974.01
  5. Step 5: Solve for x
    x = 630,974.01/844.76
  6. Step 6: Final answer
    x = 746.93

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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.