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Finding the Fourth Proportional to 1,580.40, 2,369.99 and 798.84

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Solution

The fourth proportional to 1,580.40, 2,369.99 and 798.84 is: 1,197.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.40 : 2,369.99 = 798.84 : x
  2. Step 2: Convert to fraction form
    1,580.40/2,369.99 = 798.84/x
  3. Step 3: Cross multiply
    1,580.40x = 2,369.99 × 798.84
  4. Step 4: Simplify right side
    1,580.40x = 1,893,238.82
  5. Step 5: Solve for x
    x = 1,893,238.82/1,580.40
  6. Step 6: Final answer
    x = 1,197.95

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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.