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Finding the Fourth Proportional to 839.80, 1,159.04 and 802.88

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Solution

The fourth proportional to 839.80, 1,159.04 and 802.88 is: 1,108.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.80 : 1,159.04 = 802.88 : x
  2. Step 2: Convert to fraction form
    839.80/1,159.04 = 802.88/x
  3. Step 3: Cross multiply
    839.80x = 1,159.04 × 802.88
  4. Step 4: Simplify right side
    839.80x = 930,570.04
  5. Step 5: Solve for x
    x = 930,570.04/839.80
  6. Step 6: Final answer
    x = 1,108.09

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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.