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Finding the Fourth Proportional to 1,364.59, 1,883.10 and 743.59

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Solution

The fourth proportional to 1,364.59, 1,883.10 and 743.59 is: 1,026.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.59 : 1,883.10 = 743.59 : x
  2. Step 2: Convert to fraction form
    1,364.59/1,883.10 = 743.59/x
  3. Step 3: Cross multiply
    1,364.59x = 1,883.10 × 743.59
  4. Step 4: Simplify right side
    1,364.59x = 1,400,254.33
  5. Step 5: Solve for x
    x = 1,400,254.33/1,364.59
  6. Step 6: Final answer
    x = 1,026.14

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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.