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Finding the Fourth Proportional to 1,589.42, 2,384.25 and 419.40

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Solution

The fourth proportional to 1,589.42, 2,384.25 and 419.40 is: 629.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.42 : 2,384.25 = 419.40 : x
  2. Step 2: Convert to fraction form
    1,589.42/2,384.25 = 419.40/x
  3. Step 3: Cross multiply
    1,589.42x = 2,384.25 × 419.40
  4. Step 4: Simplify right side
    1,589.42x = 999,954.45
  5. Step 5: Solve for x
    x = 999,954.45/1,589.42
  6. Step 6: Final answer
    x = 629.13

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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.