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Finding the Fourth Proportional to 823.48, 1,136.45 and 469.44

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Solution

The fourth proportional to 823.48, 1,136.45 and 469.44 is: 647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.48 : 1,136.45 = 469.44 : x
  2. Step 2: Convert to fraction form
    823.48/1,136.45 = 469.44/x
  3. Step 3: Cross multiply
    823.48x = 1,136.45 × 469.44
  4. Step 4: Simplify right side
    823.48x = 533,495.09
  5. Step 5: Solve for x
    x = 533,495.09/823.48
  6. Step 6: Final answer
    x = 647.85

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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.