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Finding the Fourth Proportional to 737.56, 1,104.76 and 598.12

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Solution

The fourth proportional to 737.56, 1,104.76 and 598.12 is: 895.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.56 : 1,104.76 = 598.12 : x
  2. Step 2: Convert to fraction form
    737.56/1,104.76 = 598.12/x
  3. Step 3: Cross multiply
    737.56x = 1,104.76 × 598.12
  4. Step 4: Simplify right side
    737.56x = 660,779.05
  5. Step 5: Solve for x
    x = 660,779.05/737.56
  6. Step 6: Final answer
    x = 895.90

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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.