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Finding the Fourth Proportional to 1,497.42, 2,245.05 and 716.31

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Solution

The fourth proportional to 1,497.42, 2,245.05 and 716.31 is: 1,073.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.42 : 2,245.05 = 716.31 : x
  2. Step 2: Convert to fraction form
    1,497.42/2,245.05 = 716.31/x
  3. Step 3: Cross multiply
    1,497.42x = 2,245.05 × 716.31
  4. Step 4: Simplify right side
    1,497.42x = 1,608,151.77
  5. Step 5: Solve for x
    x = 1,608,151.77/1,497.42
  6. Step 6: Final answer
    x = 1,073.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.