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Finding the Fourth Proportional to 1,064.70, 1,467.56 and 802.26

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Solution

The fourth proportional to 1,064.70, 1,467.56 and 802.26 is: 1,105.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.70 : 1,467.56 = 802.26 : x
  2. Step 2: Convert to fraction form
    1,064.70/1,467.56 = 802.26/x
  3. Step 3: Cross multiply
    1,064.70x = 1,467.56 × 802.26
  4. Step 4: Simplify right side
    1,064.70x = 1,177,360.67
  5. Step 5: Solve for x
    x = 1,177,360.67/1,064.70
  6. Step 6: Final answer
    x = 1,105.81

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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.