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Finding the Fourth Proportional to 974.67, 1,461.86 and 316.46

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Solution

The fourth proportional to 974.67, 1,461.86 and 316.46 is: 474.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.67 : 1,461.86 = 316.46 : x
  2. Step 2: Convert to fraction form
    974.67/1,461.86 = 316.46/x
  3. Step 3: Cross multiply
    974.67x = 1,461.86 × 316.46
  4. Step 4: Simplify right side
    974.67x = 462,620.22
  5. Step 5: Solve for x
    x = 462,620.22/974.67
  6. Step 6: Final answer
    x = 474.64

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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.