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Finding the Fourth Proportional to 1,282.40, 1,922.10 and 735.10

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Solution

The fourth proportional to 1,282.40, 1,922.10 and 735.10 is: 1,101.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.40 : 1,922.10 = 735.10 : x
  2. Step 2: Convert to fraction form
    1,282.40/1,922.10 = 735.10/x
  3. Step 3: Cross multiply
    1,282.40x = 1,922.10 × 735.10
  4. Step 4: Simplify right side
    1,282.40x = 1,412,935.71
  5. Step 5: Solve for x
    x = 1,412,935.71/1,282.40
  6. Step 6: Final answer
    x = 1,101.79

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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.