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Finding the Fourth Proportional to 1,247.56, 1,721.32 and 774.72

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Solution

The fourth proportional to 1,247.56, 1,721.32 and 774.72 is: 1,068.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.56 : 1,721.32 = 774.72 : x
  2. Step 2: Convert to fraction form
    1,247.56/1,721.32 = 774.72/x
  3. Step 3: Cross multiply
    1,247.56x = 1,721.32 × 774.72
  4. Step 4: Simplify right side
    1,247.56x = 1,333,539.09
  5. Step 5: Solve for x
    x = 1,333,539.09/1,247.56
  6. Step 6: Final answer
    x = 1,068.92

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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.