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Finding the Fourth Proportional to 954.05, 1,316.13 and 600.41

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Solution

The fourth proportional to 954.05, 1,316.13 and 600.41 is: 828.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.05 : 1,316.13 = 600.41 : x
  2. Step 2: Convert to fraction form
    954.05/1,316.13 = 600.41/x
  3. Step 3: Cross multiply
    954.05x = 1,316.13 × 600.41
  4. Step 4: Simplify right side
    954.05x = 790,211.03
  5. Step 5: Solve for x
    x = 790,211.03/954.05
  6. Step 6: Final answer
    x = 828.27

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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.