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Finding the Fourth Proportional to 973.53, 1,343.44 and 531.43

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Solution

The fourth proportional to 973.53, 1,343.44 and 531.43 is: 733.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.53 : 1,343.44 = 531.43 : x
  2. Step 2: Convert to fraction form
    973.53/1,343.44 = 531.43/x
  3. Step 3: Cross multiply
    973.53x = 1,343.44 × 531.43
  4. Step 4: Simplify right side
    973.53x = 713,944.32
  5. Step 5: Solve for x
    x = 713,944.32/973.53
  6. Step 6: Final answer
    x = 733.36

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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.