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Finding the Fourth Proportional to 1,355.52, 1,870.62 and 796.36

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Solution

The fourth proportional to 1,355.52, 1,870.62 and 796.36 is: 1,098.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.52 : 1,870.62 = 796.36 : x
  2. Step 2: Convert to fraction form
    1,355.52/1,870.62 = 796.36/x
  3. Step 3: Cross multiply
    1,355.52x = 1,870.62 × 796.36
  4. Step 4: Simplify right side
    1,355.52x = 1,489,686.94
  5. Step 5: Solve for x
    x = 1,489,686.94/1,355.52
  6. Step 6: Final answer
    x = 1,098.98

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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.