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Finding the Fourth Proportional to 926.94, 1,390.74 and 379.44

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Solution

The fourth proportional to 926.94, 1,390.74 and 379.44 is: 569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.94 : 1,390.74 = 379.44 : x
  2. Step 2: Convert to fraction form
    926.94/1,390.74 = 379.44/x
  3. Step 3: Cross multiply
    926.94x = 1,390.74 × 379.44
  4. Step 4: Simplify right side
    926.94x = 527,702.39
  5. Step 5: Solve for x
    x = 527,702.39/926.94
  6. Step 6: Final answer
    x = 569.30

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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.