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Finding the Fourth Proportional to 736.64, 1,016.05 and 456.58

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Solution

The fourth proportional to 736.64, 1,016.05 and 456.58 is: 629.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.64 : 1,016.05 = 456.58 : x
  2. Step 2: Convert to fraction form
    736.64/1,016.05 = 456.58/x
  3. Step 3: Cross multiply
    736.64x = 1,016.05 × 456.58
  4. Step 4: Simplify right side
    736.64x = 463,900.75
  5. Step 5: Solve for x
    x = 463,900.75/736.64
  6. Step 6: Final answer
    x = 629.76

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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.