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Finding the Fourth Proportional to 1,109.00, 1,530.41 and 611.63

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Solution

The fourth proportional to 1,109.00, 1,530.41 and 611.63 is: 844.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.00 : 1,530.41 = 611.63 : x
  2. Step 2: Convert to fraction form
    1,109.00/1,530.41 = 611.63/x
  3. Step 3: Cross multiply
    1,109.00x = 1,530.41 × 611.63
  4. Step 4: Simplify right side
    1,109.00x = 936,038.55
  5. Step 5: Solve for x
    x = 936,038.55/1,109.00
  6. Step 6: Final answer
    x = 844.04

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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.