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Finding the Fourth Proportional to 736.74, 1,105.03 and 462.00

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Solution

The fourth proportional to 736.74, 1,105.03 and 462.00 is: 692.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.74 : 1,105.03 = 462.00 : x
  2. Step 2: Convert to fraction form
    736.74/1,105.03 = 462.00/x
  3. Step 3: Cross multiply
    736.74x = 1,105.03 × 462.00
  4. Step 4: Simplify right side
    736.74x = 510,516.02
  5. Step 5: Solve for x
    x = 510,516.02/736.74
  6. Step 6: Final answer
    x = 692.94

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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.