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Finding the Fourth Proportional to 1,369.71, 2,054.84 and 1,065.29

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Solution

The fourth proportional to 1,369.71, 2,054.84 and 1,065.29 is: 1,598.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.71 : 2,054.84 = 1,065.29 : x
  2. Step 2: Convert to fraction form
    1,369.71/2,054.84 = 1,065.29/x
  3. Step 3: Cross multiply
    1,369.71x = 2,054.84 × 1,065.29
  4. Step 4: Simplify right side
    1,369.71x = 2,188,984.90
  5. Step 5: Solve for x
    x = 2,188,984.90/1,369.71
  6. Step 6: Final answer
    x = 1,598.14

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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.