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Finding the Fourth Proportional to 1,112.56, 1,669.59 and 463.29

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Solution

The fourth proportional to 1,112.56, 1,669.59 and 463.29 is: 695.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.56 : 1,669.59 = 463.29 : x
  2. Step 2: Convert to fraction form
    1,112.56/1,669.59 = 463.29/x
  3. Step 3: Cross multiply
    1,112.56x = 1,669.59 × 463.29
  4. Step 4: Simplify right side
    1,112.56x = 773,504.35
  5. Step 5: Solve for x
    x = 773,504.35/1,112.56
  6. Step 6: Final answer
    x = 695.25

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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.