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Finding the Fourth Proportional to 698.83, 1,048.40 and 236.57

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Solution

The fourth proportional to 698.83, 1,048.40 and 236.57 is: 354.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.83 : 1,048.40 = 236.57 : x
  2. Step 2: Convert to fraction form
    698.83/1,048.40 = 236.57/x
  3. Step 3: Cross multiply
    698.83x = 1,048.40 × 236.57
  4. Step 4: Simplify right side
    698.83x = 248,019.99
  5. Step 5: Solve for x
    x = 248,019.99/698.83
  6. Step 6: Final answer
    x = 354.91

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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.