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Finding the Fourth Proportional to 1,018.56, 1,524.58 and 671.07

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Solution

The fourth proportional to 1,018.56, 1,524.58 and 671.07 is: 1,004.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.56 : 1,524.58 = 671.07 : x
  2. Step 2: Convert to fraction form
    1,018.56/1,524.58 = 671.07/x
  3. Step 3: Cross multiply
    1,018.56x = 1,524.58 × 671.07
  4. Step 4: Simplify right side
    1,018.56x = 1,023,099.90
  5. Step 5: Solve for x
    x = 1,023,099.90/1,018.56
  6. Step 6: Final answer
    x = 1,004.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.