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Finding the Fourth Proportional to 974.88, 1,461.29 and 480.51

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Solution

The fourth proportional to 974.88, 1,461.29 and 480.51 is: 720.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.88 : 1,461.29 = 480.51 : x
  2. Step 2: Convert to fraction form
    974.88/1,461.29 = 480.51/x
  3. Step 3: Cross multiply
    974.88x = 1,461.29 × 480.51
  4. Step 4: Simplify right side
    974.88x = 702,162.06
  5. Step 5: Solve for x
    x = 702,162.06/974.88
  6. Step 6: Final answer
    x = 720.25

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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.