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Finding the Fourth Proportional to 1,650.34, 2,475.51 and 676.45

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Solution

The fourth proportional to 1,650.34, 2,475.51 and 676.45 is: 1,014.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.34 : 2,475.51 = 676.45 : x
  2. Step 2: Convert to fraction form
    1,650.34/2,475.51 = 676.45/x
  3. Step 3: Cross multiply
    1,650.34x = 2,475.51 × 676.45
  4. Step 4: Simplify right side
    1,650.34x = 1,674,558.74
  5. Step 5: Solve for x
    x = 1,674,558.74/1,650.34
  6. Step 6: Final answer
    x = 1,014.68

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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.