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Finding the Fourth Proportional to 1,254.22, 1,730.70 and 782.80

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Solution

The fourth proportional to 1,254.22, 1,730.70 and 782.80 is: 1,080.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.22 : 1,730.70 = 782.80 : x
  2. Step 2: Convert to fraction form
    1,254.22/1,730.70 = 782.80/x
  3. Step 3: Cross multiply
    1,254.22x = 1,730.70 × 782.80
  4. Step 4: Simplify right side
    1,254.22x = 1,354,791.96
  5. Step 5: Solve for x
    x = 1,354,791.96/1,254.22
  6. Step 6: Final answer
    x = 1,080.19

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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.