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Finding the Fourth Proportional to 802.51, 1,203.24 and 411.77

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Solution

The fourth proportional to 802.51, 1,203.24 and 411.77 is: 617.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.51 : 1,203.24 = 411.77 : x
  2. Step 2: Convert to fraction form
    802.51/1,203.24 = 411.77/x
  3. Step 3: Cross multiply
    802.51x = 1,203.24 × 411.77
  4. Step 4: Simplify right side
    802.51x = 495,458.13
  5. Step 5: Solve for x
    x = 495,458.13/802.51
  6. Step 6: Final answer
    x = 617.39

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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.