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Finding the Fourth Proportional to 1,238.24, 1,855.76 and 690.68

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Solution

The fourth proportional to 1,238.24, 1,855.76 and 690.68 is: 1,035.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.24 : 1,855.76 = 690.68 : x
  2. Step 2: Convert to fraction form
    1,238.24/1,855.76 = 690.68/x
  3. Step 3: Cross multiply
    1,238.24x = 1,855.76 × 690.68
  4. Step 4: Simplify right side
    1,238.24x = 1,281,736.32
  5. Step 5: Solve for x
    x = 1,281,736.32/1,238.24
  6. Step 6: Final answer
    x = 1,035.13

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Why These Related Problems?

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