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Finding the Fourth Proportional to 803.56, 1,109.02 and 542.14

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Solution

The fourth proportional to 803.56, 1,109.02 and 542.14 is: 748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.56 : 1,109.02 = 542.14 : x
  2. Step 2: Convert to fraction form
    803.56/1,109.02 = 542.14/x
  3. Step 3: Cross multiply
    803.56x = 1,109.02 × 542.14
  4. Step 4: Simplify right side
    803.56x = 601,244.10
  5. Step 5: Solve for x
    x = 601,244.10/803.56
  6. Step 6: Final answer
    x = 748.23

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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.