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Finding the Fourth Proportional to 971.11, 1,456.63 and 386.09

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Solution

The fourth proportional to 971.11, 1,456.63 and 386.09 is: 579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.11 : 1,456.63 = 386.09 : x
  2. Step 2: Convert to fraction form
    971.11/1,456.63 = 386.09/x
  3. Step 3: Cross multiply
    971.11x = 1,456.63 × 386.09
  4. Step 4: Simplify right side
    971.11x = 562,393.76
  5. Step 5: Solve for x
    x = 562,393.76/971.11
  6. Step 6: Final answer
    x = 579.12

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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.