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Finding the Fourth Proportional to 1,164.82, 1,746.78 and 434.23

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Solution

The fourth proportional to 1,164.82, 1,746.78 and 434.23 is: 651.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.82 : 1,746.78 = 434.23 : x
  2. Step 2: Convert to fraction form
    1,164.82/1,746.78 = 434.23/x
  3. Step 3: Cross multiply
    1,164.82x = 1,746.78 × 434.23
  4. Step 4: Simplify right side
    1,164.82x = 758,504.28
  5. Step 5: Solve for x
    x = 758,504.28/1,164.82
  6. Step 6: Final answer
    x = 651.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.