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Finding the Fourth Proportional to 1,283.03, 1,924.24 and 734.93

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Solution

The fourth proportional to 1,283.03, 1,924.24 and 734.93 is: 1,102.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.03 : 1,924.24 = 734.93 : x
  2. Step 2: Convert to fraction form
    1,283.03/1,924.24 = 734.93/x
  3. Step 3: Cross multiply
    1,283.03x = 1,924.24 × 734.93
  4. Step 4: Simplify right side
    1,283.03x = 1,414,181.70
  5. Step 5: Solve for x
    x = 1,414,181.70/1,283.03
  6. Step 6: Final answer
    x = 1,102.22

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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.