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Finding the Fourth Proportional to 1,630.72, 2,446.08 and 476.56

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Solution

The fourth proportional to 1,630.72, 2,446.08 and 476.56 is: 714.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.72 : 2,446.08 = 476.56 : x
  2. Step 2: Convert to fraction form
    1,630.72/2,446.08 = 476.56/x
  3. Step 3: Cross multiply
    1,630.72x = 2,446.08 × 476.56
  4. Step 4: Simplify right side
    1,630.72x = 1,165,703.88
  5. Step 5: Solve for x
    x = 1,165,703.88/1,630.72
  6. Step 6: Final answer
    x = 714.84

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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.