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Finding the Fourth Proportional to 973.79, 1,343.99 and 580.89

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Solution

The fourth proportional to 973.79, 1,343.99 and 580.89 is: 801.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.79 : 1,343.99 = 580.89 : x
  2. Step 2: Convert to fraction form
    973.79/1,343.99 = 580.89/x
  3. Step 3: Cross multiply
    973.79x = 1,343.99 × 580.89
  4. Step 4: Simplify right side
    973.79x = 780,716.84
  5. Step 5: Solve for x
    x = 780,716.84/973.79
  6. Step 6: Final answer
    x = 801.73

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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.