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Finding the Fourth Proportional to 823.98, 1,137.10 and 469.90

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Solution

The fourth proportional to 823.98, 1,137.10 and 469.90 is: 648.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.98 : 1,137.10 = 469.90 : x
  2. Step 2: Convert to fraction form
    823.98/1,137.10 = 469.90/x
  3. Step 3: Cross multiply
    823.98x = 1,137.10 × 469.90
  4. Step 4: Simplify right side
    823.98x = 534,323.29
  5. Step 5: Solve for x
    x = 534,323.29/823.98
  6. Step 6: Final answer
    x = 648.47

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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.