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Finding the Fourth Proportional to 1,214.40, 1,820.67 and 564.66

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Solution

The fourth proportional to 1,214.40, 1,820.67 and 564.66 is: 846.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.40 : 1,820.67 = 564.66 : x
  2. Step 2: Convert to fraction form
    1,214.40/1,820.67 = 564.66/x
  3. Step 3: Cross multiply
    1,214.40x = 1,820.67 × 564.66
  4. Step 4: Simplify right side
    1,214.40x = 1,028,059.52
  5. Step 5: Solve for x
    x = 1,028,059.52/1,214.40
  6. Step 6: Final answer
    x = 846.56

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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.