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Finding the Fourth Proportional to 874.34, 1,309.35 and 599.66

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Solution

The fourth proportional to 874.34, 1,309.35 and 599.66 is: 898.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.34 : 1,309.35 = 599.66 : x
  2. Step 2: Convert to fraction form
    874.34/1,309.35 = 599.66/x
  3. Step 3: Cross multiply
    874.34x = 1,309.35 × 599.66
  4. Step 4: Simplify right side
    874.34x = 785,164.82
  5. Step 5: Solve for x
    x = 785,164.82/874.34
  6. Step 6: Final answer
    x = 898.01

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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.