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Finding the Fourth Proportional to 1,402.76, 2,104.21 and 580.75

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Solution

The fourth proportional to 1,402.76, 2,104.21 and 580.75 is: 871.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.76 : 2,104.21 = 580.75 : x
  2. Step 2: Convert to fraction form
    1,402.76/2,104.21 = 580.75/x
  3. Step 3: Cross multiply
    1,402.76x = 2,104.21 × 580.75
  4. Step 4: Simplify right side
    1,402.76x = 1,222,019.96
  5. Step 5: Solve for x
    x = 1,222,019.96/1,402.76
  6. Step 6: Final answer
    x = 871.15

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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.