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Finding the Fourth Proportional to 818.46, 1,129.25 and 597.53

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Solution

The fourth proportional to 818.46, 1,129.25 and 597.53 is: 824.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.46 : 1,129.25 = 597.53 : x
  2. Step 2: Convert to fraction form
    818.46/1,129.25 = 597.53/x
  3. Step 3: Cross multiply
    818.46x = 1,129.25 × 597.53
  4. Step 4: Simplify right side
    818.46x = 674,752.12
  5. Step 5: Solve for x
    x = 674,752.12/818.46
  6. Step 6: Final answer
    x = 824.42

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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.