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Finding the Fourth Proportional to 786.45, 1,084.89 and 562.41

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Solution

The fourth proportional to 786.45, 1,084.89 and 562.41 is: 775.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.45 : 1,084.89 = 562.41 : x
  2. Step 2: Convert to fraction form
    786.45/1,084.89 = 562.41/x
  3. Step 3: Cross multiply
    786.45x = 1,084.89 × 562.41
  4. Step 4: Simplify right side
    786.45x = 610,152.98
  5. Step 5: Solve for x
    x = 610,152.98/786.45
  6. Step 6: Final answer
    x = 775.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.