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Finding the Fourth Proportional to 804.96, 1,205.94 and 674.16

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Solution

The fourth proportional to 804.96, 1,205.94 and 674.16 is: 1,009.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.96 : 1,205.94 = 674.16 : x
  2. Step 2: Convert to fraction form
    804.96/1,205.94 = 674.16/x
  3. Step 3: Cross multiply
    804.96x = 1,205.94 × 674.16
  4. Step 4: Simplify right side
    804.96x = 812,996.51
  5. Step 5: Solve for x
    x = 812,996.51/804.96
  6. Step 6: Final answer
    x = 1,009.98

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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.