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Finding the Fourth Proportional to 1,247.30, 1,720.86 and 775.52

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Solution

The fourth proportional to 1,247.30, 1,720.86 and 775.52 is: 1,069.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.30 : 1,720.86 = 775.52 : x
  2. Step 2: Convert to fraction form
    1,247.30/1,720.86 = 775.52/x
  3. Step 3: Cross multiply
    1,247.30x = 1,720.86 × 775.52
  4. Step 4: Simplify right side
    1,247.30x = 1,334,561.35
  5. Step 5: Solve for x
    x = 1,334,561.35/1,247.30
  6. Step 6: Final answer
    x = 1,069.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.