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Finding the Fourth Proportional to 823.07, 1,135.87 and 468.99

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Solution

The fourth proportional to 823.07, 1,135.87 and 468.99 is: 647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.07 : 1,135.87 = 468.99 : x
  2. Step 2: Convert to fraction form
    823.07/1,135.87 = 468.99/x
  3. Step 3: Cross multiply
    823.07x = 1,135.87 × 468.99
  4. Step 4: Simplify right side
    823.07x = 532,713.14
  5. Step 5: Solve for x
    x = 532,713.14/823.07
  6. Step 6: Final answer
    x = 647.23

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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.