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Finding the Fourth Proportional to 929.67, 1,282.43 and 819.42

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Solution

The fourth proportional to 929.67, 1,282.43 and 819.42 is: 1,130.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.67 : 1,282.43 = 819.42 : x
  2. Step 2: Convert to fraction form
    929.67/1,282.43 = 819.42/x
  3. Step 3: Cross multiply
    929.67x = 1,282.43 × 819.42
  4. Step 4: Simplify right side
    929.67x = 1,050,844.69
  5. Step 5: Solve for x
    x = 1,050,844.69/929.67
  6. Step 6: Final answer
    x = 1,130.34

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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.