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Finding the Fourth Proportional to 974.93, 1,461.78 and 325.71

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Solution

The fourth proportional to 974.93, 1,461.78 and 325.71 is: 488.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.93 : 1,461.78 = 325.71 : x
  2. Step 2: Convert to fraction form
    974.93/1,461.78 = 325.71/x
  3. Step 3: Cross multiply
    974.93x = 1,461.78 × 325.71
  4. Step 4: Simplify right side
    974.93x = 476,116.36
  5. Step 5: Solve for x
    x = 476,116.36/974.93
  6. Step 6: Final answer
    x = 488.36

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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.