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Finding the Fourth Proportional to 743.01, 1,113.69 and 377.28

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Solution

The fourth proportional to 743.01, 1,113.69 and 377.28 is: 565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.01 : 1,113.69 = 377.28 : x
  2. Step 2: Convert to fraction form
    743.01/1,113.69 = 377.28/x
  3. Step 3: Cross multiply
    743.01x = 1,113.69 × 377.28
  4. Step 4: Simplify right side
    743.01x = 420,172.96
  5. Step 5: Solve for x
    x = 420,172.96/743.01
  6. Step 6: Final answer
    x = 565.50

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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.