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Finding the Fourth Proportional to 743.60, 1,106.74 and 736.40

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Solution

The fourth proportional to 743.60, 1,106.74 and 736.40 is: 1,096.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.60 : 1,106.74 = 736.40 : x
  2. Step 2: Convert to fraction form
    743.60/1,106.74 = 736.40/x
  3. Step 3: Cross multiply
    743.60x = 1,106.74 × 736.40
  4. Step 4: Simplify right side
    743.60x = 815,003.34
  5. Step 5: Solve for x
    x = 815,003.34/743.60
  6. Step 6: Final answer
    x = 1,096.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.