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Finding the Fourth Proportional to 1,369.42, 2,053.98 and 547.27

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Solution

The fourth proportional to 1,369.42, 2,053.98 and 547.27 is: 820.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.42 : 2,053.98 = 547.27 : x
  2. Step 2: Convert to fraction form
    1,369.42/2,053.98 = 547.27/x
  3. Step 3: Cross multiply
    1,369.42x = 2,053.98 × 547.27
  4. Step 4: Simplify right side
    1,369.42x = 1,124,081.63
  5. Step 5: Solve for x
    x = 1,124,081.63/1,369.42
  6. Step 6: Final answer
    x = 820.85

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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.