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Finding the Fourth Proportional to 1,364.20, 2,046.54 and 715.12

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Solution

The fourth proportional to 1,364.20, 2,046.54 and 715.12 is: 1,072.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.20 : 2,046.54 = 715.12 : x
  2. Step 2: Convert to fraction form
    1,364.20/2,046.54 = 715.12/x
  3. Step 3: Cross multiply
    1,364.20x = 2,046.54 × 715.12
  4. Step 4: Simplify right side
    1,364.20x = 1,463,521.68
  5. Step 5: Solve for x
    x = 1,463,521.68/1,364.20
  6. Step 6: Final answer
    x = 1,072.81

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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.