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Finding the Fourth Proportional to 996.50, 1,494.19 and 476.63

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Solution

The fourth proportional to 996.50, 1,494.19 and 476.63 is: 714.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.50 : 1,494.19 = 476.63 : x
  2. Step 2: Convert to fraction form
    996.50/1,494.19 = 476.63/x
  3. Step 3: Cross multiply
    996.50x = 1,494.19 × 476.63
  4. Step 4: Simplify right side
    996.50x = 712,174.51
  5. Step 5: Solve for x
    x = 712,174.51/996.50
  6. Step 6: Final answer
    x = 714.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.