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Finding the Fourth Proportional to 802.18, 1,198.31 and 595.63

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Solution

The fourth proportional to 802.18, 1,198.31 and 595.63 is: 889.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.18 : 1,198.31 = 595.63 : x
  2. Step 2: Convert to fraction form
    802.18/1,198.31 = 595.63/x
  3. Step 3: Cross multiply
    802.18x = 1,198.31 × 595.63
  4. Step 4: Simplify right side
    802.18x = 713,749.39
  5. Step 5: Solve for x
    x = 713,749.39/802.18
  6. Step 6: Final answer
    x = 889.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.