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Finding the Fourth Proportional to 1,592.19, 2,387.61 and 495.99

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Solution

The fourth proportional to 1,592.19, 2,387.61 and 495.99 is: 743.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.19 : 2,387.61 = 495.99 : x
  2. Step 2: Convert to fraction form
    1,592.19/2,387.61 = 495.99/x
  3. Step 3: Cross multiply
    1,592.19x = 2,387.61 × 495.99
  4. Step 4: Simplify right side
    1,592.19x = 1,184,230.68
  5. Step 5: Solve for x
    x = 1,184,230.68/1,592.19
  6. Step 6: Final answer
    x = 743.77

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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.