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Finding the Fourth Proportional to 736.74, 1,016.71 and 405.16

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Solution

The fourth proportional to 736.74, 1,016.71 and 405.16 is: 559.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.74 : 1,016.71 = 405.16 : x
  2. Step 2: Convert to fraction form
    736.74/1,016.71 = 405.16/x
  3. Step 3: Cross multiply
    736.74x = 1,016.71 × 405.16
  4. Step 4: Simplify right side
    736.74x = 411,930.22
  5. Step 5: Solve for x
    x = 411,930.22/736.74
  6. Step 6: Final answer
    x = 559.13

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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.