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Finding the Fourth Proportional to 1,446.04, 1,995.53 and 782.89

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Solution

The fourth proportional to 1,446.04, 1,995.53 and 782.89 is: 1,080.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.04 : 1,995.53 = 782.89 : x
  2. Step 2: Convert to fraction form
    1,446.04/1,995.53 = 782.89/x
  3. Step 3: Cross multiply
    1,446.04x = 1,995.53 × 782.89
  4. Step 4: Simplify right side
    1,446.04x = 1,562,266.59
  5. Step 5: Solve for x
    x = 1,562,266.59/1,446.04
  6. Step 6: Final answer
    x = 1,080.38

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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.