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Finding the Fourth Proportional to 1,355.77, 1,870.50 and 796.20

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Solution

The fourth proportional to 1,355.77, 1,870.50 and 796.20 is: 1,098.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.77 : 1,870.50 = 796.20 : x
  2. Step 2: Convert to fraction form
    1,355.77/1,870.50 = 796.20/x
  3. Step 3: Cross multiply
    1,355.77x = 1,870.50 × 796.20
  4. Step 4: Simplify right side
    1,355.77x = 1,489,292.10
  5. Step 5: Solve for x
    x = 1,489,292.10/1,355.77
  6. Step 6: Final answer
    x = 1,098.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.