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Finding the Fourth Proportional to 1,281.48, 1,924.05 and 734.33

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Solution

The fourth proportional to 1,281.48, 1,924.05 and 734.33 is: 1,102.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.48 : 1,924.05 = 734.33 : x
  2. Step 2: Convert to fraction form
    1,281.48/1,924.05 = 734.33/x
  3. Step 3: Cross multiply
    1,281.48x = 1,924.05 × 734.33
  4. Step 4: Simplify right side
    1,281.48x = 1,412,878.02
  5. Step 5: Solve for x
    x = 1,412,878.02/1,281.48
  6. Step 6: Final answer
    x = 1,102.54

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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.