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Finding the Fourth Proportional to 802.58, 1,202.25 and 729.86

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Solution

The fourth proportional to 802.58, 1,202.25 and 729.86 is: 1,093.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.58 : 1,202.25 = 729.86 : x
  2. Step 2: Convert to fraction form
    802.58/1,202.25 = 729.86/x
  3. Step 3: Cross multiply
    802.58x = 1,202.25 × 729.86
  4. Step 4: Simplify right side
    802.58x = 877,474.19
  5. Step 5: Solve for x
    x = 877,474.19/802.58
  6. Step 6: Final answer
    x = 1,093.32

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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.