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Finding the Fourth Proportional to 973.46, 1,343.25 and 580.19

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Solution

The fourth proportional to 973.46, 1,343.25 and 580.19 is: 800.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.46 : 1,343.25 = 580.19 : x
  2. Step 2: Convert to fraction form
    973.46/1,343.25 = 580.19/x
  3. Step 3: Cross multiply
    973.46x = 1,343.25 × 580.19
  4. Step 4: Simplify right side
    973.46x = 779,340.22
  5. Step 5: Solve for x
    x = 779,340.22/973.46
  6. Step 6: Final answer
    x = 800.59

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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.