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Finding the Fourth Proportional to 971.15, 1,456.53 and 451.19

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Solution

The fourth proportional to 971.15, 1,456.53 and 451.19 is: 676.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.15 : 1,456.53 = 451.19 : x
  2. Step 2: Convert to fraction form
    971.15/1,456.53 = 451.19/x
  3. Step 3: Cross multiply
    971.15x = 1,456.53 × 451.19
  4. Step 4: Simplify right side
    971.15x = 657,171.77
  5. Step 5: Solve for x
    x = 657,171.77/971.15
  6. Step 6: Final answer
    x = 676.69

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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.