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Finding the Fourth Proportional to 1,403.63, 1,937.06 and 782.63

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Solution

The fourth proportional to 1,403.63, 1,937.06 and 782.63 is: 1,080.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.63 : 1,937.06 = 782.63 : x
  2. Step 2: Convert to fraction form
    1,403.63/1,937.06 = 782.63/x
  3. Step 3: Cross multiply
    1,403.63x = 1,937.06 × 782.63
  4. Step 4: Simplify right side
    1,403.63x = 1,515,993.54
  5. Step 5: Solve for x
    x = 1,515,993.54/1,403.63
  6. Step 6: Final answer
    x = 1,080.06

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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.