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Finding the Fourth Proportional to 1,094.12, 1,638.57 and 605.96

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Solution

The fourth proportional to 1,094.12, 1,638.57 and 605.96 is: 907.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.12 : 1,638.57 = 605.96 : x
  2. Step 2: Convert to fraction form
    1,094.12/1,638.57 = 605.96/x
  3. Step 3: Cross multiply
    1,094.12x = 1,638.57 × 605.96
  4. Step 4: Simplify right side
    1,094.12x = 992,914.25
  5. Step 5: Solve for x
    x = 992,914.25/1,094.12
  6. Step 6: Final answer
    x = 907.50

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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.