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Finding the Fourth Proportional to 941.30, 1,296.24 and 678.86

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Solution

The fourth proportional to 941.30, 1,296.24 and 678.86 is: 934.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.30 : 1,296.24 = 678.86 : x
  2. Step 2: Convert to fraction form
    941.30/1,296.24 = 678.86/x
  3. Step 3: Cross multiply
    941.30x = 1,296.24 × 678.86
  4. Step 4: Simplify right side
    941.30x = 879,965.49
  5. Step 5: Solve for x
    x = 879,965.49/941.30
  6. Step 6: Final answer
    x = 934.84

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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.