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Finding the Fourth Proportional to 928.39, 1,390.61 and 696.93

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Solution

The fourth proportional to 928.39, 1,390.61 and 696.93 is: 1,043.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.39 : 1,390.61 = 696.93 : x
  2. Step 2: Convert to fraction form
    928.39/1,390.61 = 696.93/x
  3. Step 3: Cross multiply
    928.39x = 1,390.61 × 696.93
  4. Step 4: Simplify right side
    928.39x = 969,157.83
  5. Step 5: Solve for x
    x = 969,157.83/928.39
  6. Step 6: Final answer
    x = 1,043.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.