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Finding the Fourth Proportional to 904.37, 1,354.68 and 794.82

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Solution

The fourth proportional to 904.37, 1,354.68 and 794.82 is: 1,190.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.37 : 1,354.68 = 794.82 : x
  2. Step 2: Convert to fraction form
    904.37/1,354.68 = 794.82/x
  3. Step 3: Cross multiply
    904.37x = 1,354.68 × 794.82
  4. Step 4: Simplify right side
    904.37x = 1,076,726.76
  5. Step 5: Solve for x
    x = 1,076,726.76/904.37
  6. Step 6: Final answer
    x = 1,190.58

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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.