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Finding the Fourth Proportional to 1,133.11, 1,563.74 and 734.86

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Solution

The fourth proportional to 1,133.11, 1,563.74 and 734.86 is: 1,014.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.11 : 1,563.74 = 734.86 : x
  2. Step 2: Convert to fraction form
    1,133.11/1,563.74 = 734.86/x
  3. Step 3: Cross multiply
    1,133.11x = 1,563.74 × 734.86
  4. Step 4: Simplify right side
    1,133.11x = 1,149,129.98
  5. Step 5: Solve for x
    x = 1,149,129.98/1,133.11
  6. Step 6: Final answer
    x = 1,014.14

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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.