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Finding the Fourth Proportional to 1,051.83, 1,576.80 and 819.47

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Solution

The fourth proportional to 1,051.83, 1,576.80 and 819.47 is: 1,228.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.83 : 1,576.80 = 819.47 : x
  2. Step 2: Convert to fraction form
    1,051.83/1,576.80 = 819.47/x
  3. Step 3: Cross multiply
    1,051.83x = 1,576.80 × 819.47
  4. Step 4: Simplify right side
    1,051.83x = 1,292,132.41
  5. Step 5: Solve for x
    x = 1,292,132.41/1,051.83
  6. Step 6: Final answer
    x = 1,228.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.