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Finding the Fourth Proportional to 1,498.47, 2,247.72 and 676.59

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Solution

The fourth proportional to 1,498.47, 2,247.72 and 676.59 is: 1,014.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.47 : 2,247.72 = 676.59 : x
  2. Step 2: Convert to fraction form
    1,498.47/2,247.72 = 676.59/x
  3. Step 3: Cross multiply
    1,498.47x = 2,247.72 × 676.59
  4. Step 4: Simplify right side
    1,498.47x = 1,520,784.87
  5. Step 5: Solve for x
    x = 1,520,784.87/1,498.47
  6. Step 6: Final answer
    x = 1,014.89

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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.