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Finding the Fourth Proportional to 1,366.42, 2,049.63 and 586.36

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Solution

The fourth proportional to 1,366.42, 2,049.63 and 586.36 is: 879.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.42 : 2,049.63 = 586.36 : x
  2. Step 2: Convert to fraction form
    1,366.42/2,049.63 = 586.36/x
  3. Step 3: Cross multiply
    1,366.42x = 2,049.63 × 586.36
  4. Step 4: Simplify right side
    1,366.42x = 1,201,810.80
  5. Step 5: Solve for x
    x = 1,201,810.80/1,366.42
  6. Step 6: Final answer
    x = 879.54

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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.