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Finding the Fourth Proportional to 671.94, 1,003.35 and 589.05

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Solution

The fourth proportional to 671.94, 1,003.35 and 589.05 is: 879.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.94 : 1,003.35 = 589.05 : x
  2. Step 2: Convert to fraction form
    671.94/1,003.35 = 589.05/x
  3. Step 3: Cross multiply
    671.94x = 1,003.35 × 589.05
  4. Step 4: Simplify right side
    671.94x = 591,023.32
  5. Step 5: Solve for x
    x = 591,023.32/671.94
  6. Step 6: Final answer
    x = 879.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.