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Finding the Fourth Proportional to 789.66, 1,088.57 and 623.61

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Solution

The fourth proportional to 789.66, 1,088.57 and 623.61 is: 859.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.66 : 1,088.57 = 623.61 : x
  2. Step 2: Convert to fraction form
    789.66/1,088.57 = 623.61/x
  3. Step 3: Cross multiply
    789.66x = 1,088.57 × 623.61
  4. Step 4: Simplify right side
    789.66x = 678,844.70
  5. Step 5: Solve for x
    x = 678,844.70/789.66
  6. Step 6: Final answer
    x = 859.67

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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.