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Finding the Fourth Proportional to 1,029.69, 1,419.45 and 819.93

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Solution

The fourth proportional to 1,029.69, 1,419.45 and 819.93 is: 1,130.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.69 : 1,419.45 = 819.93 : x
  2. Step 2: Convert to fraction form
    1,029.69/1,419.45 = 819.93/x
  3. Step 3: Cross multiply
    1,029.69x = 1,419.45 × 819.93
  4. Step 4: Simplify right side
    1,029.69x = 1,163,849.64
  5. Step 5: Solve for x
    x = 1,163,849.64/1,029.69
  6. Step 6: Final answer
    x = 1,130.29

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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.