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Finding the Fourth Proportional to 802.05, 1,106.64 and 452.67

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Solution

The fourth proportional to 802.05, 1,106.64 and 452.67 is: 624.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.05 : 1,106.64 = 452.67 : x
  2. Step 2: Convert to fraction form
    802.05/1,106.64 = 452.67/x
  3. Step 3: Cross multiply
    802.05x = 1,106.64 × 452.67
  4. Step 4: Simplify right side
    802.05x = 500,942.73
  5. Step 5: Solve for x
    x = 500,942.73/802.05
  6. Step 6: Final answer
    x = 624.58

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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.