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Finding the Fourth Proportional to 1,424.42, 1,965.71 and 794.93

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Solution

The fourth proportional to 1,424.42, 1,965.71 and 794.93 is: 1,097.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.42 : 1,965.71 = 794.93 : x
  2. Step 2: Convert to fraction form
    1,424.42/1,965.71 = 794.93/x
  3. Step 3: Cross multiply
    1,424.42x = 1,965.71 × 794.93
  4. Step 4: Simplify right side
    1,424.42x = 1,562,601.85
  5. Step 5: Solve for x
    x = 1,562,601.85/1,424.42
  6. Step 6: Final answer
    x = 1,097.01

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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.