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Finding the Fourth Proportional to 1,417.54, 2,126.00 and 676.73

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Solution

The fourth proportional to 1,417.54, 2,126.00 and 676.73 is: 1,014.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.54 : 2,126.00 = 676.73 : x
  2. Step 2: Convert to fraction form
    1,417.54/2,126.00 = 676.73/x
  3. Step 3: Cross multiply
    1,417.54x = 2,126.00 × 676.73
  4. Step 4: Simplify right side
    1,417.54x = 1,438,719.04
  5. Step 5: Solve for x
    x = 1,438,719.04/1,417.54
  6. Step 6: Final answer
    x = 1,014.94

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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.