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Finding the Fourth Proportional to 777.38, 1,069.63 and 750.44

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Solution

The fourth proportional to 777.38, 1,069.63 and 750.44 is: 1,032.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.38 : 1,069.63 = 750.44 : x
  2. Step 2: Convert to fraction form
    777.38/1,069.63 = 750.44/x
  3. Step 3: Cross multiply
    777.38x = 1,069.63 × 750.44
  4. Step 4: Simplify right side
    777.38x = 802,693.94
  5. Step 5: Solve for x
    x = 802,693.94/777.38
  6. Step 6: Final answer
    x = 1,032.57

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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.