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Finding the Fourth Proportional to 757.69, 1,050.46 and 730.96

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Solution

The fourth proportional to 757.69, 1,050.46 and 730.96 is: 1,013.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.69 : 1,050.46 = 730.96 : x
  2. Step 2: Convert to fraction form
    757.69/1,050.46 = 730.96/x
  3. Step 3: Cross multiply
    757.69x = 1,050.46 × 730.96
  4. Step 4: Simplify right side
    757.69x = 767,844.24
  5. Step 5: Solve for x
    x = 767,844.24/757.69
  6. Step 6: Final answer
    x = 1,013.40

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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.