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Finding the Fourth Proportional to 765.64, 1,148.46 and 440.34

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Solution

The fourth proportional to 765.64, 1,148.46 and 440.34 is: 660.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.64 : 1,148.46 = 440.34 : x
  2. Step 2: Convert to fraction form
    765.64/1,148.46 = 440.34/x
  3. Step 3: Cross multiply
    765.64x = 1,148.46 × 440.34
  4. Step 4: Simplify right side
    765.64x = 505,712.88
  5. Step 5: Solve for x
    x = 505,712.88/765.64
  6. Step 6: Final answer
    x = 660.51

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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.