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Finding the Fourth Proportional to 1,381.99, 2,072.91 and 560.05

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Solution

The fourth proportional to 1,381.99, 2,072.91 and 560.05 is: 840.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.99 : 2,072.91 = 560.05 : x
  2. Step 2: Convert to fraction form
    1,381.99/2,072.91 = 560.05/x
  3. Step 3: Cross multiply
    1,381.99x = 2,072.91 × 560.05
  4. Step 4: Simplify right side
    1,381.99x = 1,160,924.28
  5. Step 5: Solve for x
    x = 1,160,924.28/1,381.99
  6. Step 6: Final answer
    x = 840.04

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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.