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Finding the Fourth Proportional to 1,230.98, 1,844.66 and 971.64

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Solution

The fourth proportional to 1,230.98, 1,844.66 and 971.64 is: 1,456.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.98 : 1,844.66 = 971.64 : x
  2. Step 2: Convert to fraction form
    1,230.98/1,844.66 = 971.64/x
  3. Step 3: Cross multiply
    1,230.98x = 1,844.66 × 971.64
  4. Step 4: Simplify right side
    1,230.98x = 1,792,345.44
  5. Step 5: Solve for x
    x = 1,792,345.44/1,230.98
  6. Step 6: Final answer
    x = 1,456.03

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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.