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Finding the Fourth Proportional to 736.45, 1,016.30 and 400.35

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Solution

The fourth proportional to 736.45, 1,016.30 and 400.35 is: 552.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.45 : 1,016.30 = 400.35 : x
  2. Step 2: Convert to fraction form
    736.45/1,016.30 = 400.35/x
  3. Step 3: Cross multiply
    736.45x = 1,016.30 × 400.35
  4. Step 4: Simplify right side
    736.45x = 406,875.71
  5. Step 5: Solve for x
    x = 406,875.71/736.45
  6. Step 6: Final answer
    x = 552.48

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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.