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Finding the Fourth Proportional to 1,000.24, 1,380.44 and 580.72

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Solution

The fourth proportional to 1,000.24, 1,380.44 and 580.72 is: 801.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.24 : 1,380.44 = 580.72 : x
  2. Step 2: Convert to fraction form
    1,000.24/1,380.44 = 580.72/x
  3. Step 3: Cross multiply
    1,000.24x = 1,380.44 × 580.72
  4. Step 4: Simplify right side
    1,000.24x = 801,649.12
  5. Step 5: Solve for x
    x = 801,649.12/1,000.24
  6. Step 6: Final answer
    x = 801.46

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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.