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Finding the Fourth Proportional to 1,369.26, 2,054.45 and 491.87

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Solution

The fourth proportional to 1,369.26, 2,054.45 and 491.87 is: 738.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.26 : 2,054.45 = 491.87 : x
  2. Step 2: Convert to fraction form
    1,369.26/2,054.45 = 491.87/x
  3. Step 3: Cross multiply
    1,369.26x = 2,054.45 × 491.87
  4. Step 4: Simplify right side
    1,369.26x = 1,010,528.69
  5. Step 5: Solve for x
    x = 1,010,528.69/1,369.26
  6. Step 6: Final answer
    x = 738.01

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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.