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Finding the Fourth Proportional to 676.40, 1,014.84 and 653.36

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Solution

The fourth proportional to 676.40, 1,014.84 and 653.36 is: 980.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.40 : 1,014.84 = 653.36 : x
  2. Step 2: Convert to fraction form
    676.40/1,014.84 = 653.36/x
  3. Step 3: Cross multiply
    676.40x = 1,014.84 × 653.36
  4. Step 4: Simplify right side
    676.40x = 663,055.86
  5. Step 5: Solve for x
    x = 663,055.86/676.40
  6. Step 6: Final answer
    x = 980.27

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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.