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Finding the Fourth Proportional to 1,131.43, 1,698.72 and 584.01

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Solution

The fourth proportional to 1,131.43, 1,698.72 and 584.01 is: 876.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.43 : 1,698.72 = 584.01 : x
  2. Step 2: Convert to fraction form
    1,131.43/1,698.72 = 584.01/x
  3. Step 3: Cross multiply
    1,131.43x = 1,698.72 × 584.01
  4. Step 4: Simplify right side
    1,131.43x = 992,069.47
  5. Step 5: Solve for x
    x = 992,069.47/1,131.43
  6. Step 6: Final answer
    x = 876.83

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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.