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Finding the Fourth Proportional to 973.52, 1,343.49 and 553.91

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Solution

The fourth proportional to 973.52, 1,343.49 and 553.91 is: 764.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.52 : 1,343.49 = 553.91 : x
  2. Step 2: Convert to fraction form
    973.52/1,343.49 = 553.91/x
  3. Step 3: Cross multiply
    973.52x = 1,343.49 × 553.91
  4. Step 4: Simplify right side
    973.52x = 744,172.55
  5. Step 5: Solve for x
    x = 744,172.55/973.52
  6. Step 6: Final answer
    x = 764.41

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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.