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Finding the Fourth Proportional to 1,774.72, 2,662.24 and 476.18

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Solution

The fourth proportional to 1,774.72, 2,662.24 and 476.18 is: 714.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.72 : 2,662.24 = 476.18 : x
  2. Step 2: Convert to fraction form
    1,774.72/2,662.24 = 476.18/x
  3. Step 3: Cross multiply
    1,774.72x = 2,662.24 × 476.18
  4. Step 4: Simplify right side
    1,774.72x = 1,267,705.44
  5. Step 5: Solve for x
    x = 1,267,705.44/1,774.72
  6. Step 6: Final answer
    x = 714.31

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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.