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Finding the Fourth Proportional to 971.24, 1,456.20 and 605.54

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Solution

The fourth proportional to 971.24, 1,456.20 and 605.54 is: 907.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.24 : 1,456.20 = 605.54 : x
  2. Step 2: Convert to fraction form
    971.24/1,456.20 = 605.54/x
  3. Step 3: Cross multiply
    971.24x = 1,456.20 × 605.54
  4. Step 4: Simplify right side
    971.24x = 881,787.35
  5. Step 5: Solve for x
    x = 881,787.35/971.24
  6. Step 6: Final answer
    x = 907.90

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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.