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Finding the Fourth Proportional to 823.91, 1,136.51 and 524.61

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Solution

The fourth proportional to 823.91, 1,136.51 and 524.61 is: 723.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.91 : 1,136.51 = 524.61 : x
  2. Step 2: Convert to fraction form
    823.91/1,136.51 = 524.61/x
  3. Step 3: Cross multiply
    823.91x = 1,136.51 × 524.61
  4. Step 4: Simplify right side
    823.91x = 596,223.86
  5. Step 5: Solve for x
    x = 596,223.86/823.91
  6. Step 6: Final answer
    x = 723.66

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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.