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Finding the Fourth Proportional to 1,014.22, 1,399.64 and 594.82

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Solution

The fourth proportional to 1,014.22, 1,399.64 and 594.82 is: 820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.22 : 1,399.64 = 594.82 : x
  2. Step 2: Convert to fraction form
    1,014.22/1,399.64 = 594.82/x
  3. Step 3: Cross multiply
    1,014.22x = 1,399.64 × 594.82
  4. Step 4: Simplify right side
    1,014.22x = 832,533.86
  5. Step 5: Solve for x
    x = 832,533.86/1,014.22
  6. Step 6: Final answer
    x = 820.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.