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Finding the Fourth Proportional to 736.71, 1,016.69 and 405.14

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Solution

The fourth proportional to 736.71, 1,016.69 and 405.14 is: 559.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.71 : 1,016.69 = 405.14 : x
  2. Step 2: Convert to fraction form
    736.71/1,016.69 = 405.14/x
  3. Step 3: Cross multiply
    736.71x = 1,016.69 × 405.14
  4. Step 4: Simplify right side
    736.71x = 411,899.76
  5. Step 5: Solve for x
    x = 411,899.76/736.71
  6. Step 6: Final answer
    x = 559.11

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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.