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Finding the Fourth Proportional to 1,048.12, 1,446.26 and 891.40

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Solution

The fourth proportional to 1,048.12, 1,446.26 and 891.40 is: 1,230.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.12 : 1,446.26 = 891.40 : x
  2. Step 2: Convert to fraction form
    1,048.12/1,446.26 = 891.40/x
  3. Step 3: Cross multiply
    1,048.12x = 1,446.26 × 891.40
  4. Step 4: Simplify right side
    1,048.12x = 1,289,196.16
  5. Step 5: Solve for x
    x = 1,289,196.16/1,048.12
  6. Step 6: Final answer
    x = 1,230.01

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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.