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Finding the Fourth Proportional to 802.50, 1,203.16 and 541.85

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Solution

The fourth proportional to 802.50, 1,203.16 and 541.85 is: 812.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.50 : 1,203.16 = 541.85 : x
  2. Step 2: Convert to fraction form
    802.50/1,203.16 = 541.85/x
  3. Step 3: Cross multiply
    802.50x = 1,203.16 × 541.85
  4. Step 4: Simplify right side
    802.50x = 651,936.45
  5. Step 5: Solve for x
    x = 651,936.45/802.50
  6. Step 6: Final answer
    x = 812.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.