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Finding the Fourth Proportional to 1,131.48, 1,698.72 and 645.48

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Solution

The fourth proportional to 1,131.48, 1,698.72 and 645.48 is: 969.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.48 : 1,698.72 = 645.48 : x
  2. Step 2: Convert to fraction form
    1,131.48/1,698.72 = 645.48/x
  3. Step 3: Cross multiply
    1,131.48x = 1,698.72 × 645.48
  4. Step 4: Simplify right side
    1,131.48x = 1,096,489.79
  5. Step 5: Solve for x
    x = 1,096,489.79/1,131.48
  6. Step 6: Final answer
    x = 969.08

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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.