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Finding the Fourth Proportional to 968.56, 1,448.88 and 814.72

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Solution

The fourth proportional to 968.56, 1,448.88 and 814.72 is: 1,218.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.56 : 1,448.88 = 814.72 : x
  2. Step 2: Convert to fraction form
    968.56/1,448.88 = 814.72/x
  3. Step 3: Cross multiply
    968.56x = 1,448.88 × 814.72
  4. Step 4: Simplify right side
    968.56x = 1,180,431.51
  5. Step 5: Solve for x
    x = 1,180,431.51/968.56
  6. Step 6: Final answer
    x = 1,218.75

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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.