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Finding the Fourth Proportional to 759.55, 1,048.46 and 464.83

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Solution

The fourth proportional to 759.55, 1,048.46 and 464.83 is: 641.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.55 : 1,048.46 = 464.83 : x
  2. Step 2: Convert to fraction form
    759.55/1,048.46 = 464.83/x
  3. Step 3: Cross multiply
    759.55x = 1,048.46 × 464.83
  4. Step 4: Simplify right side
    759.55x = 487,355.66
  5. Step 5: Solve for x
    x = 487,355.66/759.55
  6. Step 6: Final answer
    x = 641.64

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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.