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Finding the Fourth Proportional to 783.58, 1,173.89 and 609.41

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Solution

The fourth proportional to 783.58, 1,173.89 and 609.41 is: 912.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.58 : 1,173.89 = 609.41 : x
  2. Step 2: Convert to fraction form
    783.58/1,173.89 = 609.41/x
  3. Step 3: Cross multiply
    783.58x = 1,173.89 × 609.41
  4. Step 4: Simplify right side
    783.58x = 715,374.44
  5. Step 5: Solve for x
    x = 715,374.44/783.58
  6. Step 6: Final answer
    x = 912.96

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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.