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Finding the Fourth Proportional to 1,282, 1,921.86 and 733.40

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Solution

The fourth proportional to 1,282, 1,921.86 and 733.40 is: 1,099.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282 : 1,921.86 = 733.40 : x
  2. Step 2: Convert to fraction form
    1,282/1,921.86 = 733.40/x
  3. Step 3: Cross multiply
    1,282x = 1,921.86 × 733.40
  4. Step 4: Simplify right side
    1,282x = 1,409,492.12
  5. Step 5: Solve for x
    x = 1,409,492.12/1,282
  6. Step 6: Final answer
    x = 1,099.45

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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.