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Finding the Fourth Proportional to 818.88, 1,130.24 and 557

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Solution

The fourth proportional to 818.88, 1,130.24 and 557 is: 768.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.88 : 1,130.24 = 557 : x
  2. Step 2: Convert to fraction form
    818.88/1,130.24 = 557/x
  3. Step 3: Cross multiply
    818.88x = 1,130.24 × 557
  4. Step 4: Simplify right side
    818.88x = 629,543.68
  5. Step 5: Solve for x
    x = 629,543.68/818.88
  6. Step 6: Final answer
    x = 768.79

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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.