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Finding the Fourth Proportional to 1,212.51, 1,817.37 and 561.88

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Solution

The fourth proportional to 1,212.51, 1,817.37 and 561.88 is: 842.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.51 : 1,817.37 = 561.88 : x
  2. Step 2: Convert to fraction form
    1,212.51/1,817.37 = 561.88/x
  3. Step 3: Cross multiply
    1,212.51x = 1,817.37 × 561.88
  4. Step 4: Simplify right side
    1,212.51x = 1,021,143.86
  5. Step 5: Solve for x
    x = 1,021,143.86/1,212.51
  6. Step 6: Final answer
    x = 842.17

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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.