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Finding the Fourth Proportional to 785.87, 1,179.14 and 375.01

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Solution

The fourth proportional to 785.87, 1,179.14 and 375.01 is: 562.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.87 : 1,179.14 = 375.01 : x
  2. Step 2: Convert to fraction form
    785.87/1,179.14 = 375.01/x
  3. Step 3: Cross multiply
    785.87x = 1,179.14 × 375.01
  4. Step 4: Simplify right side
    785.87x = 442,189.29
  5. Step 5: Solve for x
    x = 442,189.29/785.87
  6. Step 6: Final answer
    x = 562.67

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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.