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Finding the Fourth Proportional to 793.84, 1,095.02 and 524.66

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Solution

The fourth proportional to 793.84, 1,095.02 and 524.66 is: 723.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.84 : 1,095.02 = 524.66 : x
  2. Step 2: Convert to fraction form
    793.84/1,095.02 = 524.66/x
  3. Step 3: Cross multiply
    793.84x = 1,095.02 × 524.66
  4. Step 4: Simplify right side
    793.84x = 574,513.19
  5. Step 5: Solve for x
    x = 574,513.19/793.84
  6. Step 6: Final answer
    x = 723.71

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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.