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Finding the Fourth Proportional to 803.56, 1,205.66 and 802.28

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Solution

The fourth proportional to 803.56, 1,205.66 and 802.28 is: 1,203.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.56 : 1,205.66 = 802.28 : x
  2. Step 2: Convert to fraction form
    803.56/1,205.66 = 802.28/x
  3. Step 3: Cross multiply
    803.56x = 1,205.66 × 802.28
  4. Step 4: Simplify right side
    803.56x = 967,276.90
  5. Step 5: Solve for x
    x = 967,276.90/803.56
  6. Step 6: Final answer
    x = 1,203.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.