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Finding the Fourth Proportional to 904.14, 1,245.93 and 641.70

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Solution

The fourth proportional to 904.14, 1,245.93 and 641.70 is: 884.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.14 : 1,245.93 = 641.70 : x
  2. Step 2: Convert to fraction form
    904.14/1,245.93 = 641.70/x
  3. Step 3: Cross multiply
    904.14x = 1,245.93 × 641.70
  4. Step 4: Simplify right side
    904.14x = 799,513.28
  5. Step 5: Solve for x
    x = 799,513.28/904.14
  6. Step 6: Final answer
    x = 884.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.