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Finding the Fourth Proportional to 1,104.63, 1,656.75 and 446.48

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Solution

The fourth proportional to 1,104.63, 1,656.75 and 446.48 is: 669.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.63 : 1,656.75 = 446.48 : x
  2. Step 2: Convert to fraction form
    1,104.63/1,656.75 = 446.48/x
  3. Step 3: Cross multiply
    1,104.63x = 1,656.75 × 446.48
  4. Step 4: Simplify right side
    1,104.63x = 739,695.22
  5. Step 5: Solve for x
    x = 739,695.22/1,104.63
  6. Step 6: Final answer
    x = 669.63

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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.