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Finding the Fourth Proportional to 954.12, 1,316.21 and 600.47

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Solution

The fourth proportional to 954.12, 1,316.21 and 600.47 is: 828.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.12 : 1,316.21 = 600.47 : x
  2. Step 2: Convert to fraction form
    954.12/1,316.21 = 600.47/x
  3. Step 3: Cross multiply
    954.12x = 1,316.21 × 600.47
  4. Step 4: Simplify right side
    954.12x = 790,344.62
  5. Step 5: Solve for x
    x = 790,344.62/954.12
  6. Step 6: Final answer
    x = 828.35

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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.