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Finding the Fourth Proportional to 580.74, 796.01 and 572.64

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Solution

The fourth proportional to 580.74, 796.01 and 572.64 is: 784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.74 : 796.01 = 572.64 : x
  2. Step 2: Convert to fraction form
    580.74/796.01 = 572.64/x
  3. Step 3: Cross multiply
    580.74x = 796.01 × 572.64
  4. Step 4: Simplify right side
    580.74x = 455,821.32
  5. Step 5: Solve for x
    x = 455,821.32/580.74
  6. Step 6: Final answer
    x = 784.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.