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Finding the Fourth Proportional to 845.63, 1,167.88 and 580.77

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Solution

The fourth proportional to 845.63, 1,167.88 and 580.77 is: 802.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.63 : 1,167.88 = 580.77 : x
  2. Step 2: Convert to fraction form
    845.63/1,167.88 = 580.77/x
  3. Step 3: Cross multiply
    845.63x = 1,167.88 × 580.77
  4. Step 4: Simplify right side
    845.63x = 678,269.29
  5. Step 5: Solve for x
    x = 678,269.29/845.63
  6. Step 6: Final answer
    x = 802.09

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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.