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Finding the Fourth Proportional to 736.57, 1,016.48 and 405.00

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Solution

The fourth proportional to 736.57, 1,016.48 and 405.00 is: 558.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.57 : 1,016.48 = 405.00 : x
  2. Step 2: Convert to fraction form
    736.57/1,016.48 = 405.00/x
  3. Step 3: Cross multiply
    736.57x = 1,016.48 × 405.00
  4. Step 4: Simplify right side
    736.57x = 411,667.29
  5. Step 5: Solve for x
    x = 411,667.29/736.57
  6. Step 6: Final answer
    x = 558.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.