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Finding the Fourth Proportional to 1,367.15, 2,048.76 and 586.95

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Solution

The fourth proportional to 1,367.15, 2,048.76 and 586.95 is: 879.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.15 : 2,048.76 = 586.95 : x
  2. Step 2: Convert to fraction form
    1,367.15/2,048.76 = 586.95/x
  3. Step 3: Cross multiply
    1,367.15x = 2,048.76 × 586.95
  4. Step 4: Simplify right side
    1,367.15x = 1,202,514.20
  5. Step 5: Solve for x
    x = 1,202,514.20/1,367.15
  6. Step 6: Final answer
    x = 879.58

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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.