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Finding the Fourth Proportional to 766.10, 1,057.13 and 567.03

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Solution

The fourth proportional to 766.10, 1,057.13 and 567.03 is: 782.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.10 : 1,057.13 = 567.03 : x
  2. Step 2: Convert to fraction form
    766.10/1,057.13 = 567.03/x
  3. Step 3: Cross multiply
    766.10x = 1,057.13 × 567.03
  4. Step 4: Simplify right side
    766.10x = 599,421.59
  5. Step 5: Solve for x
    x = 599,421.59/766.10
  6. Step 6: Final answer
    x = 782.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.