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Finding the Fourth Proportional to 973.69, 1,343.20 and 580.44

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Solution

The fourth proportional to 973.69, 1,343.20 and 580.44 is: 800.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.69 : 1,343.20 = 580.44 : x
  2. Step 2: Convert to fraction form
    973.69/1,343.20 = 580.44/x
  3. Step 3: Cross multiply
    973.69x = 1,343.20 × 580.44
  4. Step 4: Simplify right side
    973.69x = 779,647.01
  5. Step 5: Solve for x
    x = 779,647.01/973.69
  6. Step 6: Final answer
    x = 800.71

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