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Finding the Fourth Proportional to 802.04, 1,201.84 and 595.65

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Solution

The fourth proportional to 802.04, 1,201.84 and 595.65 is: 892.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.04 : 1,201.84 = 595.65 : x
  2. Step 2: Convert to fraction form
    802.04/1,201.84 = 595.65/x
  3. Step 3: Cross multiply
    802.04x = 1,201.84 × 595.65
  4. Step 4: Simplify right side
    802.04x = 715,869.99
  5. Step 5: Solve for x
    x = 715,869.99/802.04
  6. Step 6: Final answer
    x = 892.56

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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.