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Finding the Fourth Proportional to 985.84, 1,478.14 and 523.33

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Solution

The fourth proportional to 985.84, 1,478.14 and 523.33 is: 784.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.84 : 1,478.14 = 523.33 : x
  2. Step 2: Convert to fraction form
    985.84/1,478.14 = 523.33/x
  3. Step 3: Cross multiply
    985.84x = 1,478.14 × 523.33
  4. Step 4: Simplify right side
    985.84x = 773,555.01
  5. Step 5: Solve for x
    x = 773,555.01/985.84
  6. Step 6: Final answer
    x = 784.67

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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.