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Finding the Fourth Proportional to 759.31, 1,048.48 and 511.45

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Solution

The fourth proportional to 759.31, 1,048.48 and 511.45 is: 706.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.31 : 1,048.48 = 511.45 : x
  2. Step 2: Convert to fraction form
    759.31/1,048.48 = 511.45/x
  3. Step 3: Cross multiply
    759.31x = 1,048.48 × 511.45
  4. Step 4: Simplify right side
    759.31x = 536,245.10
  5. Step 5: Solve for x
    x = 536,245.10/759.31
  6. Step 6: Final answer
    x = 706.23

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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.