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Finding the Fourth Proportional to 874.32, 1,311.93 and 600.63

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Solution

The fourth proportional to 874.32, 1,311.93 and 600.63 is: 901.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.32 : 1,311.93 = 600.63 : x
  2. Step 2: Convert to fraction form
    874.32/1,311.93 = 600.63/x
  3. Step 3: Cross multiply
    874.32x = 1,311.93 × 600.63
  4. Step 4: Simplify right side
    874.32x = 787,984.52
  5. Step 5: Solve for x
    x = 787,984.52/874.32
  6. Step 6: Final answer
    x = 901.25

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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.