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Finding the Fourth Proportional to 1,401.81, 2,103.12 and 580.13

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Solution

The fourth proportional to 1,401.81, 2,103.12 and 580.13 is: 870.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.81 : 2,103.12 = 580.13 : x
  2. Step 2: Convert to fraction form
    1,401.81/2,103.12 = 580.13/x
  3. Step 3: Cross multiply
    1,401.81x = 2,103.12 × 580.13
  4. Step 4: Simplify right side
    1,401.81x = 1,220,072.49
  5. Step 5: Solve for x
    x = 1,220,072.49/1,401.81
  6. Step 6: Final answer
    x = 870.36

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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.