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Finding the Fourth Proportional to 770.33, 1,068.20 and 744.36

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Solution

The fourth proportional to 770.33, 1,068.20 and 744.36 is: 1,032.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.33 : 1,068.20 = 744.36 : x
  2. Step 2: Convert to fraction form
    770.33/1,068.20 = 744.36/x
  3. Step 3: Cross multiply
    770.33x = 1,068.20 × 744.36
  4. Step 4: Simplify right side
    770.33x = 795,120.42
  5. Step 5: Solve for x
    x = 795,120.42/770.33
  6. Step 6: Final answer
    x = 1,032.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.