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Finding the Fourth Proportional to 1,310.07, 1,965.15 and 487.89

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Solution

The fourth proportional to 1,310.07, 1,965.15 and 487.89 is: 731.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.07 : 1,965.15 = 487.89 : x
  2. Step 2: Convert to fraction form
    1,310.07/1,965.15 = 487.89/x
  3. Step 3: Cross multiply
    1,310.07x = 1,965.15 × 487.89
  4. Step 4: Simplify right side
    1,310.07x = 958,777.03
  5. Step 5: Solve for x
    x = 958,777.03/1,310.07
  6. Step 6: Final answer
    x = 731.85

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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.