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Finding the Fourth Proportional to 1,107.81, 1,661.93 and 953.31

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Solution

The fourth proportional to 1,107.81, 1,661.93 and 953.31 is: 1,430.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.81 : 1,661.93 = 953.31 : x
  2. Step 2: Convert to fraction form
    1,107.81/1,661.93 = 953.31/x
  3. Step 3: Cross multiply
    1,107.81x = 1,661.93 × 953.31
  4. Step 4: Simplify right side
    1,107.81x = 1,584,329.72
  5. Step 5: Solve for x
    x = 1,584,329.72/1,107.81
  6. Step 6: Final answer
    x = 1,430.15

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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.