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Finding the Fourth Proportional to 1,189.39, 1,784.65 and 531.20

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Solution

The fourth proportional to 1,189.39, 1,784.65 and 531.20 is: 797.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.39 : 1,784.65 = 531.20 : x
  2. Step 2: Convert to fraction form
    1,189.39/1,784.65 = 531.20/x
  3. Step 3: Cross multiply
    1,189.39x = 1,784.65 × 531.20
  4. Step 4: Simplify right side
    1,189.39x = 948,006.08
  5. Step 5: Solve for x
    x = 948,006.08/1,189.39
  6. Step 6: Final answer
    x = 797.05

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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.