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Finding the Fourth Proportional to 1,437.60, 1,983.83 and 879.01

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Solution

The fourth proportional to 1,437.60, 1,983.83 and 879.01 is: 1,213.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.60 : 1,983.83 = 879.01 : x
  2. Step 2: Convert to fraction form
    1,437.60/1,983.83 = 879.01/x
  3. Step 3: Cross multiply
    1,437.60x = 1,983.83 × 879.01
  4. Step 4: Simplify right side
    1,437.60x = 1,743,806.41
  5. Step 5: Solve for x
    x = 1,743,806.41/1,437.60
  6. Step 6: Final answer
    x = 1,213.00

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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.