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Finding the Fourth Proportional to 743.51, 1,114.85 and 305.07

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Solution

The fourth proportional to 743.51, 1,114.85 and 305.07 is: 457.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.51 : 1,114.85 = 305.07 : x
  2. Step 2: Convert to fraction form
    743.51/1,114.85 = 305.07/x
  3. Step 3: Cross multiply
    743.51x = 1,114.85 × 305.07
  4. Step 4: Simplify right side
    743.51x = 340,103.87
  5. Step 5: Solve for x
    x = 340,103.87/743.51
  6. Step 6: Final answer
    x = 457.43

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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.