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Finding the Fourth Proportional to 1,189.62, 1,784.65 and 495.95

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Solution

The fourth proportional to 1,189.62, 1,784.65 and 495.95 is: 744.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.62 : 1,784.65 = 495.95 : x
  2. Step 2: Convert to fraction form
    1,189.62/1,784.65 = 495.95/x
  3. Step 3: Cross multiply
    1,189.62x = 1,784.65 × 495.95
  4. Step 4: Simplify right side
    1,189.62x = 885,087.00
  5. Step 5: Solve for x
    x = 885,087.00/1,189.62
  6. Step 6: Final answer
    x = 744.01

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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.