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Finding the Fourth Proportional to 1,230.94, 1,847.32 and 581.83

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Solution

The fourth proportional to 1,230.94, 1,847.32 and 581.83 is: 873.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.94 : 1,847.32 = 581.83 : x
  2. Step 2: Convert to fraction form
    1,230.94/1,847.32 = 581.83/x
  3. Step 3: Cross multiply
    1,230.94x = 1,847.32 × 581.83
  4. Step 4: Simplify right side
    1,230.94x = 1,074,820.12
  5. Step 5: Solve for x
    x = 1,074,820.12/1,230.94
  6. Step 6: Final answer
    x = 873.17

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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.