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Finding the Fourth Proportional to 759.14, 1,047.64 and 464.40

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Solution

The fourth proportional to 759.14, 1,047.64 and 464.40 is: 640.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.14 : 1,047.64 = 464.40 : x
  2. Step 2: Convert to fraction form
    759.14/1,047.64 = 464.40/x
  3. Step 3: Cross multiply
    759.14x = 1,047.64 × 464.40
  4. Step 4: Simplify right side
    759.14x = 486,522.86
  5. Step 5: Solve for x
    x = 486,522.86/759.14
  6. Step 6: Final answer
    x = 640.88

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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.