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Finding the Fourth Proportional to 818.82, 1,130.73 and 557.58

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Solution

The fourth proportional to 818.82, 1,130.73 and 557.58 is: 769.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.82 : 1,130.73 = 557.58 : x
  2. Step 2: Convert to fraction form
    818.82/1,130.73 = 557.58/x
  3. Step 3: Cross multiply
    818.82x = 1,130.73 × 557.58
  4. Step 4: Simplify right side
    818.82x = 630,472.43
  5. Step 5: Solve for x
    x = 630,472.43/818.82
  6. Step 6: Final answer
    x = 769.98

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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.