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Finding the Fourth Proportional to 766.64, 1,149.60 and 334.16

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Solution

The fourth proportional to 766.64, 1,149.60 and 334.16 is: 501.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.64 : 1,149.60 = 334.16 : x
  2. Step 2: Convert to fraction form
    766.64/1,149.60 = 334.16/x
  3. Step 3: Cross multiply
    766.64x = 1,149.60 × 334.16
  4. Step 4: Simplify right side
    766.64x = 384,150.34
  5. Step 5: Solve for x
    x = 384,150.34/766.64
  6. Step 6: Final answer
    x = 501.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.