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Finding the Fourth Proportional to 1,232.81, 1,850.43 and 584

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Solution

The fourth proportional to 1,232.81, 1,850.43 and 584 is: 876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.81 : 1,850.43 = 584 : x
  2. Step 2: Convert to fraction form
    1,232.81/1,850.43 = 584/x
  3. Step 3: Cross multiply
    1,232.81x = 1,850.43 × 584
  4. Step 4: Simplify right side
    1,232.81x = 1,080,651.12
  5. Step 5: Solve for x
    x = 1,080,651.12/1,232.81
  6. Step 6: Final answer
    x = 876.58

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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.