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Finding the Fourth Proportional to 765.18, 1,057.32 and 699.30

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Solution

The fourth proportional to 765.18, 1,057.32 and 699.30 is: 966.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.18 : 1,057.32 = 699.30 : x
  2. Step 2: Convert to fraction form
    765.18/1,057.32 = 699.30/x
  3. Step 3: Cross multiply
    765.18x = 1,057.32 × 699.30
  4. Step 4: Simplify right side
    765.18x = 739,383.88
  5. Step 5: Solve for x
    x = 739,383.88/765.18
  6. Step 6: Final answer
    x = 966.29

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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.