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Finding the Fourth Proportional to 973.97, 1,461.11 and 388.97

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Solution

The fourth proportional to 973.97, 1,461.11 and 388.97 is: 583.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.97 : 1,461.11 = 388.97 : x
  2. Step 2: Convert to fraction form
    973.97/1,461.11 = 388.97/x
  3. Step 3: Cross multiply
    973.97x = 1,461.11 × 388.97
  4. Step 4: Simplify right side
    973.97x = 568,327.96
  5. Step 5: Solve for x
    x = 568,327.96/973.97
  6. Step 6: Final answer
    x = 583.52

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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.