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Finding the Fourth Proportional to 926.40, 1,390.95 and 696.90

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Solution

The fourth proportional to 926.40, 1,390.95 and 696.90 is: 1,046.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.40 : 1,390.95 = 696.90 : x
  2. Step 2: Convert to fraction form
    926.40/1,390.95 = 696.90/x
  3. Step 3: Cross multiply
    926.40x = 1,390.95 × 696.90
  4. Step 4: Simplify right side
    926.40x = 969,353.06
  5. Step 5: Solve for x
    x = 969,353.06/926.40
  6. Step 6: Final answer
    x = 1,046.37

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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.