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Finding the Fourth Proportional to 970.23, 1,456.05 and 727.41

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Solution

The fourth proportional to 970.23, 1,456.05 and 727.41 is: 1,091.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.23 : 1,456.05 = 727.41 : x
  2. Step 2: Convert to fraction form
    970.23/1,456.05 = 727.41/x
  3. Step 3: Cross multiply
    970.23x = 1,456.05 × 727.41
  4. Step 4: Simplify right side
    970.23x = 1,059,145.33
  5. Step 5: Solve for x
    x = 1,059,145.33/970.23
  6. Step 6: Final answer
    x = 1,091.64

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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.