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Finding the Fourth Proportional to 971.93, 1,341.27 and 552.38

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Solution

The fourth proportional to 971.93, 1,341.27 and 552.38 is: 762.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.93 : 1,341.27 = 552.38 : x
  2. Step 2: Convert to fraction form
    971.93/1,341.27 = 552.38/x
  3. Step 3: Cross multiply
    971.93x = 1,341.27 × 552.38
  4. Step 4: Simplify right side
    971.93x = 740,884.02
  5. Step 5: Solve for x
    x = 740,884.02/971.93
  6. Step 6: Final answer
    x = 762.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.