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Finding the Fourth Proportional to 743.07, 1,114.76 and 223.05

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Solution

The fourth proportional to 743.07, 1,114.76 and 223.05 is: 334.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.07 : 1,114.76 = 223.05 : x
  2. Step 2: Convert to fraction form
    743.07/1,114.76 = 223.05/x
  3. Step 3: Cross multiply
    743.07x = 1,114.76 × 223.05
  4. Step 4: Simplify right side
    743.07x = 248,646.10
  5. Step 5: Solve for x
    x = 248,646.10/743.07
  6. Step 6: Final answer
    x = 334.62

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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.