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Finding the Fourth Proportional to 823.15, 1,135.81 and 468.93

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Solution

The fourth proportional to 823.15, 1,135.81 and 468.93 is: 647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.15 : 1,135.81 = 468.93 : x
  2. Step 2: Convert to fraction form
    823.15/1,135.81 = 468.93/x
  3. Step 3: Cross multiply
    823.15x = 1,135.81 × 468.93
  4. Step 4: Simplify right side
    823.15x = 532,615.38
  5. Step 5: Solve for x
    x = 532,615.38/823.15
  6. Step 6: Final answer
    x = 647.05

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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.