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Finding the Fourth Proportional to 1,048.54, 1,443.70 and 890.86

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Solution

The fourth proportional to 1,048.54, 1,443.70 and 890.86 is: 1,226.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.54 : 1,443.70 = 890.86 : x
  2. Step 2: Convert to fraction form
    1,048.54/1,443.70 = 890.86/x
  3. Step 3: Cross multiply
    1,048.54x = 1,443.70 × 890.86
  4. Step 4: Simplify right side
    1,048.54x = 1,286,134.58
  5. Step 5: Solve for x
    x = 1,286,134.58/1,048.54
  6. Step 6: Final answer
    x = 1,226.60

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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.