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Finding the Fourth Proportional to 1,109.94, 1,660.68 and 669.57

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Solution

The fourth proportional to 1,109.94, 1,660.68 and 669.57 is: 1,001.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.94 : 1,660.68 = 669.57 : x
  2. Step 2: Convert to fraction form
    1,109.94/1,660.68 = 669.57/x
  3. Step 3: Cross multiply
    1,109.94x = 1,660.68 × 669.57
  4. Step 4: Simplify right side
    1,109.94x = 1,111,941.51
  5. Step 5: Solve for x
    x = 1,111,941.51/1,109.94
  6. Step 6: Final answer
    x = 1,001.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.