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Finding the Fourth Proportional to 968.10, 1,335 and 828.69

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Solution

The fourth proportional to 968.10, 1,335 and 828.69 is: 1,142.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.10 : 1,335 = 828.69 : x
  2. Step 2: Convert to fraction form
    968.10/1,335 = 828.69/x
  3. Step 3: Cross multiply
    968.10x = 1,335 × 828.69
  4. Step 4: Simplify right side
    968.10x = 1,106,301.15
  5. Step 5: Solve for x
    x = 1,106,301.15/968.10
  6. Step 6: Final answer
    x = 1,142.76

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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.