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Finding the Fourth Proportional to 904.26, 1,354.56 and 698.11

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Solution

The fourth proportional to 904.26, 1,354.56 and 698.11 is: 1,045.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.26 : 1,354.56 = 698.11 : x
  2. Step 2: Convert to fraction form
    904.26/1,354.56 = 698.11/x
  3. Step 3: Cross multiply
    904.26x = 1,354.56 × 698.11
  4. Step 4: Simplify right side
    904.26x = 945,631.88
  5. Step 5: Solve for x
    x = 945,631.88/904.26
  6. Step 6: Final answer
    x = 1,045.75

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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.