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Finding the Fourth Proportional to 802.81, 1,202.54 and 705.43

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Solution

The fourth proportional to 802.81, 1,202.54 and 705.43 is: 1,056.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.81 : 1,202.54 = 705.43 : x
  2. Step 2: Convert to fraction form
    802.81/1,202.54 = 705.43/x
  3. Step 3: Cross multiply
    802.81x = 1,202.54 × 705.43
  4. Step 4: Simplify right side
    802.81x = 848,304.27
  5. Step 5: Solve for x
    x = 848,304.27/802.81
  6. Step 6: Final answer
    x = 1,056.67

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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.