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Finding the Fourth Proportional to 736.64, 1,016.54 and 421.93

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Solution

The fourth proportional to 736.64, 1,016.54 and 421.93 is: 582.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.64 : 1,016.54 = 421.93 : x
  2. Step 2: Convert to fraction form
    736.64/1,016.54 = 421.93/x
  3. Step 3: Cross multiply
    736.64x = 1,016.54 × 421.93
  4. Step 4: Simplify right side
    736.64x = 428,901.53
  5. Step 5: Solve for x
    x = 428,901.53/736.64
  6. Step 6: Final answer
    x = 582.24

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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.