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Finding the Fourth Proportional to 1,109.53, 1,664.30 and 561.73

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Solution

The fourth proportional to 1,109.53, 1,664.30 and 561.73 is: 842.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.53 : 1,664.30 = 561.73 : x
  2. Step 2: Convert to fraction form
    1,109.53/1,664.30 = 561.73/x
  3. Step 3: Cross multiply
    1,109.53x = 1,664.30 × 561.73
  4. Step 4: Simplify right side
    1,109.53x = 934,887.24
  5. Step 5: Solve for x
    x = 934,887.24/1,109.53
  6. Step 6: Final answer
    x = 842.60

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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.