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Finding the Fourth Proportional to 1,445.91, 1,995.36 and 782.76

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Solution

The fourth proportional to 1,445.91, 1,995.36 and 782.76 is: 1,080.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.91 : 1,995.36 = 782.76 : x
  2. Step 2: Convert to fraction form
    1,445.91/1,995.36 = 782.76/x
  3. Step 3: Cross multiply
    1,445.91x = 1,995.36 × 782.76
  4. Step 4: Simplify right side
    1,445.91x = 1,561,884.08
  5. Step 5: Solve for x
    x = 1,561,884.08/1,445.91
  6. Step 6: Final answer
    x = 1,080.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.