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Finding the Fourth Proportional to 1,369.59, 2,054.29 and 547.34

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Solution

The fourth proportional to 1,369.59, 2,054.29 and 547.34 is: 820.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.59 : 2,054.29 = 547.34 : x
  2. Step 2: Convert to fraction form
    1,369.59/2,054.29 = 547.34/x
  3. Step 3: Cross multiply
    1,369.59x = 2,054.29 × 547.34
  4. Step 4: Simplify right side
    1,369.59x = 1,124,394.49
  5. Step 5: Solve for x
    x = 1,124,394.49/1,369.59
  6. Step 6: Final answer
    x = 820.97

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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.