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Finding the Fourth Proportional to 973.97, 1,344.06 and 531.87

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Solution

The fourth proportional to 973.97, 1,344.06 and 531.87 is: 733.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.97 : 1,344.06 = 531.87 : x
  2. Step 2: Convert to fraction form
    973.97/1,344.06 = 531.87/x
  3. Step 3: Cross multiply
    973.97x = 1,344.06 × 531.87
  4. Step 4: Simplify right side
    973.97x = 714,865.19
  5. Step 5: Solve for x
    x = 714,865.19/973.97
  6. Step 6: Final answer
    x = 733.97

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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.