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Finding the Fourth Proportional to 1,339.74, 1,850.31 and 899.46

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Solution

The fourth proportional to 1,339.74, 1,850.31 and 899.46 is: 1,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.74 : 1,850.31 = 899.46 : x
  2. Step 2: Convert to fraction form
    1,339.74/1,850.31 = 899.46/x
  3. Step 3: Cross multiply
    1,339.74x = 1,850.31 × 899.46
  4. Step 4: Simplify right side
    1,339.74x = 1,664,279.83
  5. Step 5: Solve for x
    x = 1,664,279.83/1,339.74
  6. Step 6: Final answer
    x = 1,242.24

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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.