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Finding the Fourth Proportional to 1,214.29, 1,822.04 and 564.94

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Solution

The fourth proportional to 1,214.29, 1,822.04 and 564.94 is: 847.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.29 : 1,822.04 = 564.94 : x
  2. Step 2: Convert to fraction form
    1,214.29/1,822.04 = 564.94/x
  3. Step 3: Cross multiply
    1,214.29x = 1,822.04 × 564.94
  4. Step 4: Simplify right side
    1,214.29x = 1,029,331.34
  5. Step 5: Solve for x
    x = 1,029,331.34/1,214.29
  6. Step 6: Final answer
    x = 847.69

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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.