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Finding the Fourth Proportional to 842.34, 1,261.54 and 738.54

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Solution

The fourth proportional to 842.34, 1,261.54 and 738.54 is: 1,106.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.34 : 1,261.54 = 738.54 : x
  2. Step 2: Convert to fraction form
    842.34/1,261.54 = 738.54/x
  3. Step 3: Cross multiply
    842.34x = 1,261.54 × 738.54
  4. Step 4: Simplify right side
    842.34x = 931,697.75
  5. Step 5: Solve for x
    x = 931,697.75/842.34
  6. Step 6: Final answer
    x = 1,106.08

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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.