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Finding the Fourth Proportional to 772.64, 1,156.08 and 567.80

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Solution

The fourth proportional to 772.64, 1,156.08 and 567.80 is: 849.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.64 : 1,156.08 = 567.80 : x
  2. Step 2: Convert to fraction form
    772.64/1,156.08 = 567.80/x
  3. Step 3: Cross multiply
    772.64x = 1,156.08 × 567.80
  4. Step 4: Simplify right side
    772.64x = 656,422.22
  5. Step 5: Solve for x
    x = 656,422.22/772.64
  6. Step 6: Final answer
    x = 849.58

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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.