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Finding the Fourth Proportional to 1,359.77, 1,876.83 and 835.50

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Solution

The fourth proportional to 1,359.77, 1,876.83 and 835.50 is: 1,153.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.77 : 1,876.83 = 835.50 : x
  2. Step 2: Convert to fraction form
    1,359.77/1,876.83 = 835.50/x
  3. Step 3: Cross multiply
    1,359.77x = 1,876.83 × 835.50
  4. Step 4: Simplify right side
    1,359.77x = 1,568,088.33
  5. Step 5: Solve for x
    x = 1,568,088.33/1,359.77
  6. Step 6: Final answer
    x = 1,153.20

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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.