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Finding the Fourth Proportional to 954.12, 1,317.30 and 600.54

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Solution

The fourth proportional to 954.12, 1,317.30 and 600.54 is: 829.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.12 : 1,317.30 = 600.54 : x
  2. Step 2: Convert to fraction form
    954.12/1,317.30 = 600.54/x
  3. Step 3: Cross multiply
    954.12x = 1,317.30 × 600.54
  4. Step 4: Simplify right side
    954.12x = 791,091.34
  5. Step 5: Solve for x
    x = 791,091.34/954.12
  6. Step 6: Final answer
    x = 829.13

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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.