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Finding the Fourth Proportional to 973.58, 1,343.46 and 553.94

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Solution

The fourth proportional to 973.58, 1,343.46 and 553.94 is: 764.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.58 : 1,343.46 = 553.94 : x
  2. Step 2: Convert to fraction form
    973.58/1,343.46 = 553.94/x
  3. Step 3: Cross multiply
    973.58x = 1,343.46 × 553.94
  4. Step 4: Simplify right side
    973.58x = 744,196.23
  5. Step 5: Solve for x
    x = 744,196.23/973.58
  6. Step 6: Final answer
    x = 764.39

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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.