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Finding the Fourth Proportional to 1,104.55, 1,656.78 and 335.05

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Solution

The fourth proportional to 1,104.55, 1,656.78 and 335.05 is: 502.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.55 : 1,656.78 = 335.05 : x
  2. Step 2: Convert to fraction form
    1,104.55/1,656.78 = 335.05/x
  3. Step 3: Cross multiply
    1,104.55x = 1,656.78 × 335.05
  4. Step 4: Simplify right side
    1,104.55x = 555,104.14
  5. Step 5: Solve for x
    x = 555,104.14/1,104.55
  6. Step 6: Final answer
    x = 502.56

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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.