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Finding the Fourth Proportional to 1,445.90, 1,995.33 and 782.75

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Solution

The fourth proportional to 1,445.90, 1,995.33 and 782.75 is: 1,080.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.90 : 1,995.33 = 782.75 : x
  2. Step 2: Convert to fraction form
    1,445.90/1,995.33 = 782.75/x
  3. Step 3: Cross multiply
    1,445.90x = 1,995.33 × 782.75
  4. Step 4: Simplify right side
    1,445.90x = 1,561,834.58
  5. Step 5: Solve for x
    x = 1,561,834.58/1,445.90
  6. Step 6: Final answer
    x = 1,080.18

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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.