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Finding the Fourth Proportional to 873.37, 1,205.11 and 652.85

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Solution

The fourth proportional to 873.37, 1,205.11 and 652.85 is: 900.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.37 : 1,205.11 = 652.85 : x
  2. Step 2: Convert to fraction form
    873.37/1,205.11 = 652.85/x
  3. Step 3: Cross multiply
    873.37x = 1,205.11 × 652.85
  4. Step 4: Simplify right side
    873.37x = 786,756.06
  5. Step 5: Solve for x
    x = 786,756.06/873.37
  6. Step 6: Final answer
    x = 900.83

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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.