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Finding the Fourth Proportional to 803.40, 1,107.37 and 537.75

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Solution

The fourth proportional to 803.40, 1,107.37 and 537.75 is: 741.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.40 : 1,107.37 = 537.75 : x
  2. Step 2: Convert to fraction form
    803.40/1,107.37 = 537.75/x
  3. Step 3: Cross multiply
    803.40x = 1,107.37 × 537.75
  4. Step 4: Simplify right side
    803.40x = 595,488.22
  5. Step 5: Solve for x
    x = 595,488.22/803.40
  6. Step 6: Final answer
    x = 741.21

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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.