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Finding the Fourth Proportional to 1,293.96, 1,785.72 and 734.50

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Solution

The fourth proportional to 1,293.96, 1,785.72 and 734.50 is: 1,013.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.96 : 1,785.72 = 734.50 : x
  2. Step 2: Convert to fraction form
    1,293.96/1,785.72 = 734.50/x
  3. Step 3: Cross multiply
    1,293.96x = 1,785.72 × 734.50
  4. Step 4: Simplify right side
    1,293.96x = 1,311,611.34
  5. Step 5: Solve for x
    x = 1,311,611.34/1,293.96
  6. Step 6: Final answer
    x = 1,013.64

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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.