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Finding the Fourth Proportional to 762.10, 1,069.10 and 762.10

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Solution

The fourth proportional to 762.10, 1,069.10 and 762.10 is: 1,069.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.10 : 1,069.10 = 762.10 : x
  2. Step 2: Convert to fraction form
    762.10/1,069.10 = 762.10/x
  3. Step 3: Cross multiply
    762.10x = 1,069.10 × 762.10
  4. Step 4: Simplify right side
    762.10x = 814,761.11
  5. Step 5: Solve for x
    x = 814,761.11/762.10
  6. Step 6: Final answer
    x = 1,069.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.