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Finding the Fourth Proportional to 971.61, 1,458.11 and 728.79

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Solution

The fourth proportional to 971.61, 1,458.11 and 728.79 is: 1,093.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.61 : 1,458.11 = 728.79 : x
  2. Step 2: Convert to fraction form
    971.61/1,458.11 = 728.79/x
  3. Step 3: Cross multiply
    971.61x = 1,458.11 × 728.79
  4. Step 4: Simplify right side
    971.61x = 1,062,655.99
  5. Step 5: Solve for x
    x = 1,062,655.99/971.61
  6. Step 6: Final answer
    x = 1,093.71

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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.