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Finding the Fourth Proportional to 1,131.90, 1,698.48 and 611.90

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Solution

The fourth proportional to 1,131.90, 1,698.48 and 611.90 is: 918.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.90 : 1,698.48 = 611.90 : x
  2. Step 2: Convert to fraction form
    1,131.90/1,698.48 = 611.90/x
  3. Step 3: Cross multiply
    1,131.90x = 1,698.48 × 611.90
  4. Step 4: Simplify right side
    1,131.90x = 1,039,299.91
  5. Step 5: Solve for x
    x = 1,039,299.91/1,131.90
  6. Step 6: Final answer
    x = 918.19

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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.