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Finding the Fourth Proportional to 759.58, 1,048.29 and 511.41

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Solution

The fourth proportional to 759.58, 1,048.29 and 511.41 is: 705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.58 : 1,048.29 = 511.41 : x
  2. Step 2: Convert to fraction form
    759.58/1,048.29 = 511.41/x
  3. Step 3: Cross multiply
    759.58x = 1,048.29 × 511.41
  4. Step 4: Simplify right side
    759.58x = 536,110.88
  5. Step 5: Solve for x
    x = 536,110.88/759.58
  6. Step 6: Final answer
    x = 705.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.