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Finding the Fourth Proportional to 1,102.95, 1,654.83 and 454.14

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Solution

The fourth proportional to 1,102.95, 1,654.83 and 454.14 is: 681.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.95 : 1,654.83 = 454.14 : x
  2. Step 2: Convert to fraction form
    1,102.95/1,654.83 = 454.14/x
  3. Step 3: Cross multiply
    1,102.95x = 1,654.83 × 454.14
  4. Step 4: Simplify right side
    1,102.95x = 751,524.50
  5. Step 5: Solve for x
    x = 751,524.50/1,102.95
  6. Step 6: Final answer
    x = 681.38

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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.