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Finding the Fourth Proportional to 677.26, 1,015.08 and 568.72

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Solution

The fourth proportional to 677.26, 1,015.08 and 568.72 is: 852.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.26 : 1,015.08 = 568.72 : x
  2. Step 2: Convert to fraction form
    677.26/1,015.08 = 568.72/x
  3. Step 3: Cross multiply
    677.26x = 1,015.08 × 568.72
  4. Step 4: Simplify right side
    677.26x = 577,296.30
  5. Step 5: Solve for x
    x = 577,296.30/677.26
  6. Step 6: Final answer
    x = 852.40

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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.