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Finding the Fourth Proportional to 1,496.74, 2,245.38 and 456.63

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Solution

The fourth proportional to 1,496.74, 2,245.38 and 456.63 is: 685.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.74 : 2,245.38 = 456.63 : x
  2. Step 2: Convert to fraction form
    1,496.74/2,245.38 = 456.63/x
  3. Step 3: Cross multiply
    1,496.74x = 2,245.38 × 456.63
  4. Step 4: Simplify right side
    1,496.74x = 1,025,307.87
  5. Step 5: Solve for x
    x = 1,025,307.87/1,496.74
  6. Step 6: Final answer
    x = 685.03

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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.