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Finding the Fourth Proportional to 1,189.94, 1,784.55 and 573.26

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Solution

The fourth proportional to 1,189.94, 1,784.55 and 573.26 is: 859.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.94 : 1,784.55 = 573.26 : x
  2. Step 2: Convert to fraction form
    1,189.94/1,784.55 = 573.26/x
  3. Step 3: Cross multiply
    1,189.94x = 1,784.55 × 573.26
  4. Step 4: Simplify right side
    1,189.94x = 1,023,011.13
  5. Step 5: Solve for x
    x = 1,023,011.13/1,189.94
  6. Step 6: Final answer
    x = 859.72

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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.