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Finding the Fourth Proportional to 823.58, 1,129.84 and 802.06

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Solution

The fourth proportional to 823.58, 1,129.84 and 802.06 is: 1,100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.58 : 1,129.84 = 802.06 : x
  2. Step 2: Convert to fraction form
    823.58/1,129.84 = 802.06/x
  3. Step 3: Cross multiply
    823.58x = 1,129.84 × 802.06
  4. Step 4: Simplify right side
    823.58x = 906,199.47
  5. Step 5: Solve for x
    x = 906,199.47/823.58
  6. Step 6: Final answer
    x = 1,100.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.