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Finding the Fourth Proportional to 1,304.85, 1,802.63 and 857.77

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Solution

The fourth proportional to 1,304.85, 1,802.63 and 857.77 is: 1,185.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.85 : 1,802.63 = 857.77 : x
  2. Step 2: Convert to fraction form
    1,304.85/1,802.63 = 857.77/x
  3. Step 3: Cross multiply
    1,304.85x = 1,802.63 × 857.77
  4. Step 4: Simplify right side
    1,304.85x = 1,546,241.94
  5. Step 5: Solve for x
    x = 1,546,241.94/1,304.85
  6. Step 6: Final answer
    x = 1,185.00

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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.