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Finding the Fourth Proportional to 914.09, 1,270.38 and 904.37

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Solution

The fourth proportional to 914.09, 1,270.38 and 904.37 is: 1,256.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.09 : 1,270.38 = 904.37 : x
  2. Step 2: Convert to fraction form
    914.09/1,270.38 = 904.37/x
  3. Step 3: Cross multiply
    914.09x = 1,270.38 × 904.37
  4. Step 4: Simplify right side
    914.09x = 1,148,890.60
  5. Step 5: Solve for x
    x = 1,148,890.60/914.09
  6. Step 6: Final answer
    x = 1,256.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.