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Finding the Fourth Proportional to 676.93, 1,014.37 and 608.08

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Solution

The fourth proportional to 676.93, 1,014.37 and 608.08 is: 911.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.93 : 1,014.37 = 608.08 : x
  2. Step 2: Convert to fraction form
    676.93/1,014.37 = 608.08/x
  3. Step 3: Cross multiply
    676.93x = 1,014.37 × 608.08
  4. Step 4: Simplify right side
    676.93x = 616,813.04
  5. Step 5: Solve for x
    x = 616,813.04/676.93
  6. Step 6: Final answer
    x = 911.20

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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.