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Finding the Fourth Proportional to 1,307.44, 1,804.22 and 717.94

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Solution

The fourth proportional to 1,307.44, 1,804.22 and 717.94 is: 990.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.44 : 1,804.22 = 717.94 : x
  2. Step 2: Convert to fraction form
    1,307.44/1,804.22 = 717.94/x
  3. Step 3: Cross multiply
    1,307.44x = 1,804.22 × 717.94
  4. Step 4: Simplify right side
    1,307.44x = 1,295,320.81
  5. Step 5: Solve for x
    x = 1,295,320.81/1,307.44
  6. Step 6: Final answer
    x = 990.73

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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.