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Finding the Fourth Proportional to 1,720.47, 2,580.32 and 487.60

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Solution

The fourth proportional to 1,720.47, 2,580.32 and 487.60 is: 731.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.47 : 2,580.32 = 487.60 : x
  2. Step 2: Convert to fraction form
    1,720.47/2,580.32 = 487.60/x
  3. Step 3: Cross multiply
    1,720.47x = 2,580.32 × 487.60
  4. Step 4: Simplify right side
    1,720.47x = 1,258,164.03
  5. Step 5: Solve for x
    x = 1,258,164.03/1,720.47
  6. Step 6: Final answer
    x = 731.29

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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.