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Finding the Fourth Proportional to 1,311.76, 1,967.90 and 653.60

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Solution

The fourth proportional to 1,311.76, 1,967.90 and 653.60 is: 980.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.76 : 1,967.90 = 653.60 : x
  2. Step 2: Convert to fraction form
    1,311.76/1,967.90 = 653.60/x
  3. Step 3: Cross multiply
    1,311.76x = 1,967.90 × 653.60
  4. Step 4: Simplify right side
    1,311.76x = 1,286,221.09
  5. Step 5: Solve for x
    x = 1,286,221.09/1,311.76
  6. Step 6: Final answer
    x = 980.53

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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.