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Finding the Fourth Proportional to 941.94, 1,300.05 and 734.58

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Solution

The fourth proportional to 941.94, 1,300.05 and 734.58 is: 1,013.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.94 : 1,300.05 = 734.58 : x
  2. Step 2: Convert to fraction form
    941.94/1,300.05 = 734.58/x
  3. Step 3: Cross multiply
    941.94x = 1,300.05 × 734.58
  4. Step 4: Simplify right side
    941.94x = 954,990.73
  5. Step 5: Solve for x
    x = 954,990.73/941.94
  6. Step 6: Final answer
    x = 1,013.86

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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.