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Finding the Fourth Proportional to 802.83, 1,107.87 and 448.77

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Solution

The fourth proportional to 802.83, 1,107.87 and 448.77 is: 619.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.83 : 1,107.87 = 448.77 : x
  2. Step 2: Convert to fraction form
    802.83/1,107.87 = 448.77/x
  3. Step 3: Cross multiply
    802.83x = 1,107.87 × 448.77
  4. Step 4: Simplify right side
    802.83x = 497,178.82
  5. Step 5: Solve for x
    x = 497,178.82/802.83
  6. Step 6: Final answer
    x = 619.28

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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.