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Finding the Fourth Proportional to 926.64, 1,390.14 and 378.90

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Solution

The fourth proportional to 926.64, 1,390.14 and 378.90 is: 568.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.64 : 1,390.14 = 378.90 : x
  2. Step 2: Convert to fraction form
    926.64/1,390.14 = 378.90/x
  3. Step 3: Cross multiply
    926.64x = 1,390.14 × 378.90
  4. Step 4: Simplify right side
    926.64x = 526,724.05
  5. Step 5: Solve for x
    x = 526,724.05/926.64
  6. Step 6: Final answer
    x = 568.42

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Why These Related Problems?

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