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Finding the Fourth Proportional to 1,802.88, 2,704.61 and 706.65

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Solution

The fourth proportional to 1,802.88, 2,704.61 and 706.65 is: 1,060.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.88 : 2,704.61 = 706.65 : x
  2. Step 2: Convert to fraction form
    1,802.88/2,704.61 = 706.65/x
  3. Step 3: Cross multiply
    1,802.88x = 2,704.61 × 706.65
  4. Step 4: Simplify right side
    1,802.88x = 1,911,212.66
  5. Step 5: Solve for x
    x = 1,911,212.66/1,802.88
  6. Step 6: Final answer
    x = 1,060.09

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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.