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Finding the Fourth Proportional to 1,580.88, 2,369.51 and 800.13

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Solution

The fourth proportional to 1,580.88, 2,369.51 and 800.13 is: 1,199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.88 : 2,369.51 = 800.13 : x
  2. Step 2: Convert to fraction form
    1,580.88/2,369.51 = 800.13/x
  3. Step 3: Cross multiply
    1,580.88x = 2,369.51 × 800.13
  4. Step 4: Simplify right side
    1,580.88x = 1,895,912.04
  5. Step 5: Solve for x
    x = 1,895,912.04/1,580.88
  6. Step 6: Final answer
    x = 1,199.28

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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.