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Finding the Fourth Proportional to 941.12, 1,298.16 and 604.88

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Solution

The fourth proportional to 941.12, 1,298.16 and 604.88 is: 834.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.12 : 1,298.16 = 604.88 : x
  2. Step 2: Convert to fraction form
    941.12/1,298.16 = 604.88/x
  3. Step 3: Cross multiply
    941.12x = 1,298.16 × 604.88
  4. Step 4: Simplify right side
    941.12x = 785,231.02
  5. Step 5: Solve for x
    x = 785,231.02/941.12
  6. Step 6: Final answer
    x = 834.36

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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.