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Finding the Fourth Proportional to 1,228.14, 1,840.44 and 708.12

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Solution

The fourth proportional to 1,228.14, 1,840.44 and 708.12 is: 1,061.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.14 : 1,840.44 = 708.12 : x
  2. Step 2: Convert to fraction form
    1,228.14/1,840.44 = 708.12/x
  3. Step 3: Cross multiply
    1,228.14x = 1,840.44 × 708.12
  4. Step 4: Simplify right side
    1,228.14x = 1,303,252.37
  5. Step 5: Solve for x
    x = 1,303,252.37/1,228.14
  6. Step 6: Final answer
    x = 1,061.16

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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.