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Finding the Fourth Proportional to 866.84, 1,300.26 and 379.64

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Solution

The fourth proportional to 866.84, 1,300.26 and 379.64 is: 569.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.84 : 1,300.26 = 379.64 : x
  2. Step 2: Convert to fraction form
    866.84/1,300.26 = 379.64/x
  3. Step 3: Cross multiply
    866.84x = 1,300.26 × 379.64
  4. Step 4: Simplify right side
    866.84x = 493,630.71
  5. Step 5: Solve for x
    x = 493,630.71/866.84
  6. Step 6: Final answer
    x = 569.46

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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.