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Finding the Fourth Proportional to 1,720.89, 2,580.98 and 488.27

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Solution

The fourth proportional to 1,720.89, 2,580.98 and 488.27 is: 732.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.89 : 2,580.98 = 488.27 : x
  2. Step 2: Convert to fraction form
    1,720.89/2,580.98 = 488.27/x
  3. Step 3: Cross multiply
    1,720.89x = 2,580.98 × 488.27
  4. Step 4: Simplify right side
    1,720.89x = 1,260,219.12
  5. Step 5: Solve for x
    x = 1,260,219.12/1,720.89
  6. Step 6: Final answer
    x = 732.31

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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.