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Finding the Fourth Proportional to 818.81, 1,129.44 and 524.27

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Solution

The fourth proportional to 818.81, 1,129.44 and 524.27 is: 723.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.81 : 1,129.44 = 524.27 : x
  2. Step 2: Convert to fraction form
    818.81/1,129.44 = 524.27/x
  3. Step 3: Cross multiply
    818.81x = 1,129.44 × 524.27
  4. Step 4: Simplify right side
    818.81x = 592,136.30
  5. Step 5: Solve for x
    x = 592,136.30/818.81
  6. Step 6: Final answer
    x = 723.17

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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.