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Finding the Fourth Proportional to 984.02, 1,476.89 and 522.14

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Solution

The fourth proportional to 984.02, 1,476.89 and 522.14 is: 783.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.02 : 1,476.89 = 522.14 : x
  2. Step 2: Convert to fraction form
    984.02/1,476.89 = 522.14/x
  3. Step 3: Cross multiply
    984.02x = 1,476.89 × 522.14
  4. Step 4: Simplify right side
    984.02x = 771,148.34
  5. Step 5: Solve for x
    x = 771,148.34/984.02
  6. Step 6: Final answer
    x = 783.67

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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.