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Finding the Fourth Proportional to 1,571.69, 2,357.58 and 584.75

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Solution

The fourth proportional to 1,571.69, 2,357.58 and 584.75 is: 877.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.69 : 2,357.58 = 584.75 : x
  2. Step 2: Convert to fraction form
    1,571.69/2,357.58 = 584.75/x
  3. Step 3: Cross multiply
    1,571.69x = 2,357.58 × 584.75
  4. Step 4: Simplify right side
    1,571.69x = 1,378,589.01
  5. Step 5: Solve for x
    x = 1,378,589.01/1,571.69
  6. Step 6: Final answer
    x = 877.14

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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.