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Finding the Fourth Proportional to 1,309.34, 1,964.02 and 487.60

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Solution

The fourth proportional to 1,309.34, 1,964.02 and 487.60 is: 731.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.34 : 1,964.02 = 487.60 : x
  2. Step 2: Convert to fraction form
    1,309.34/1,964.02 = 487.60/x
  3. Step 3: Cross multiply
    1,309.34x = 1,964.02 × 487.60
  4. Step 4: Simplify right side
    1,309.34x = 957,656.15
  5. Step 5: Solve for x
    x = 957,656.15/1,309.34
  6. Step 6: Final answer
    x = 731.40

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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.