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Finding the Fourth Proportional to 844.65, 1,266.98 and 536.72

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Solution

The fourth proportional to 844.65, 1,266.98 and 536.72 is: 805.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.65 : 1,266.98 = 536.72 : x
  2. Step 2: Convert to fraction form
    844.65/1,266.98 = 536.72/x
  3. Step 3: Cross multiply
    844.65x = 1,266.98 × 536.72
  4. Step 4: Simplify right side
    844.65x = 680,004.49
  5. Step 5: Solve for x
    x = 680,004.49/844.65
  6. Step 6: Final answer
    x = 805.07

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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.