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Finding the Fourth Proportional to 803.50, 1,109.06 and 538.45

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Solution

The fourth proportional to 803.50, 1,109.06 and 538.45 is: 743.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.50 : 1,109.06 = 538.45 : x
  2. Step 2: Convert to fraction form
    803.50/1,109.06 = 538.45/x
  3. Step 3: Cross multiply
    803.50x = 1,109.06 × 538.45
  4. Step 4: Simplify right side
    803.50x = 597,173.36
  5. Step 5: Solve for x
    x = 597,173.36/803.50
  6. Step 6: Final answer
    x = 743.22

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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.