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Finding the Fourth Proportional to 803.41, 1,197.38 and 802.20

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Solution

The fourth proportional to 803.41, 1,197.38 and 802.20 is: 1,195.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.41 : 1,197.38 = 802.20 : x
  2. Step 2: Convert to fraction form
    803.41/1,197.38 = 802.20/x
  3. Step 3: Cross multiply
    803.41x = 1,197.38 × 802.20
  4. Step 4: Simplify right side
    803.41x = 960,538.24
  5. Step 5: Solve for x
    x = 960,538.24/803.41
  6. Step 6: Final answer
    x = 1,195.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.