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Finding the Fourth Proportional to 1,116.51, 1,541.03 and 743.50

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Solution

The fourth proportional to 1,116.51, 1,541.03 and 743.50 is: 1,026.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.51 : 1,541.03 = 743.50 : x
  2. Step 2: Convert to fraction form
    1,116.51/1,541.03 = 743.50/x
  3. Step 3: Cross multiply
    1,116.51x = 1,541.03 × 743.50
  4. Step 4: Simplify right side
    1,116.51x = 1,145,755.81
  5. Step 5: Solve for x
    x = 1,145,755.81/1,116.51
  6. Step 6: Final answer
    x = 1,026.19

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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.