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Finding the Fourth Proportional to 974.99, 1,461.26 and 488.18

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Solution

The fourth proportional to 974.99, 1,461.26 and 488.18 is: 731.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.99 : 1,461.26 = 488.18 : x
  2. Step 2: Convert to fraction form
    974.99/1,461.26 = 488.18/x
  3. Step 3: Cross multiply
    974.99x = 1,461.26 × 488.18
  4. Step 4: Simplify right side
    974.99x = 713,362.78
  5. Step 5: Solve for x
    x = 713,362.78/974.99
  6. Step 6: Final answer
    x = 731.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.