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Finding the Fourth Proportional to 1,104.54, 1,653.72 and 826.32

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Solution

The fourth proportional to 1,104.54, 1,653.72 and 826.32 is: 1,237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.54 : 1,653.72 = 826.32 : x
  2. Step 2: Convert to fraction form
    1,104.54/1,653.72 = 826.32/x
  3. Step 3: Cross multiply
    1,104.54x = 1,653.72 × 826.32
  4. Step 4: Simplify right side
    1,104.54x = 1,366,501.91
  5. Step 5: Solve for x
    x = 1,366,501.91/1,104.54
  6. Step 6: Final answer
    x = 1,237.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.