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Finding the Fourth Proportional to 1,254.83, 1,879.20 and 1,011.83

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Solution

The fourth proportional to 1,254.83, 1,879.20 and 1,011.83 is: 1,515.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.83 : 1,879.20 = 1,011.83 : x
  2. Step 2: Convert to fraction form
    1,254.83/1,879.20 = 1,011.83/x
  3. Step 3: Cross multiply
    1,254.83x = 1,879.20 × 1,011.83
  4. Step 4: Simplify right side
    1,254.83x = 1,901,421.54
  5. Step 5: Solve for x
    x = 1,901,421.54/1,254.83
  6. Step 6: Final answer
    x = 1,515.29

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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.