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Finding the Fourth Proportional to 1,281.44, 1,923.72 and 734.06

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Solution

The fourth proportional to 1,281.44, 1,923.72 and 734.06 is: 1,101.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.44 : 1,923.72 = 734.06 : x
  2. Step 2: Convert to fraction form
    1,281.44/1,923.72 = 734.06/x
  3. Step 3: Cross multiply
    1,281.44x = 1,923.72 × 734.06
  4. Step 4: Simplify right side
    1,281.44x = 1,412,125.90
  5. Step 5: Solve for x
    x = 1,412,125.90/1,281.44
  6. Step 6: Final answer
    x = 1,101.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.