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Finding the Fourth Proportional to 802.85, 1,107.68 and 541.01

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Solution

The fourth proportional to 802.85, 1,107.68 and 541.01 is: 746.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.85 : 1,107.68 = 541.01 : x
  2. Step 2: Convert to fraction form
    802.85/1,107.68 = 541.01/x
  3. Step 3: Cross multiply
    802.85x = 1,107.68 × 541.01
  4. Step 4: Simplify right side
    802.85x = 599,266.02
  5. Step 5: Solve for x
    x = 599,266.02/802.85
  6. Step 6: Final answer
    x = 746.43

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Why These Related Problems?

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