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Finding the Fourth Proportional to 759.08, 1,047.58 and 464.34

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Solution

The fourth proportional to 759.08, 1,047.58 and 464.34 is: 640.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.08 : 1,047.58 = 464.34 : x
  2. Step 2: Convert to fraction form
    759.08/1,047.58 = 464.34/x
  3. Step 3: Cross multiply
    759.08x = 1,047.58 × 464.34
  4. Step 4: Simplify right side
    759.08x = 486,433.30
  5. Step 5: Solve for x
    x = 486,433.30/759.08
  6. Step 6: Final answer
    x = 640.82

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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.