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Finding the Fourth Proportional to 1,181.88, 1,629.48 and 971.28

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Solution

The fourth proportional to 1,181.88, 1,629.48 and 971.28 is: 1,339.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.88 : 1,629.48 = 971.28 : x
  2. Step 2: Convert to fraction form
    1,181.88/1,629.48 = 971.28/x
  3. Step 3: Cross multiply
    1,181.88x = 1,629.48 × 971.28
  4. Step 4: Simplify right side
    1,181.88x = 1,582,681.33
  5. Step 5: Solve for x
    x = 1,582,681.33/1,181.88
  6. Step 6: Final answer
    x = 1,339.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.