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Finding the Fourth Proportional to 1,589.71, 2,384.93 and 494.02

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Solution

The fourth proportional to 1,589.71, 2,384.93 and 494.02 is: 741.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.71 : 2,384.93 = 494.02 : x
  2. Step 2: Convert to fraction form
    1,589.71/2,384.93 = 494.02/x
  3. Step 3: Cross multiply
    1,589.71x = 2,384.93 × 494.02
  4. Step 4: Simplify right side
    1,589.71x = 1,178,198.39
  5. Step 5: Solve for x
    x = 1,178,198.39/1,589.71
  6. Step 6: Final answer
    x = 741.14

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Why These Related Problems?

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