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Finding the Fourth Proportional to 1,282.28, 1,923.40 and 404.80

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Solution

The fourth proportional to 1,282.28, 1,923.40 and 404.80 is: 607.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.28 : 1,923.40 = 404.80 : x
  2. Step 2: Convert to fraction form
    1,282.28/1,923.40 = 404.80/x
  3. Step 3: Cross multiply
    1,282.28x = 1,923.40 × 404.80
  4. Step 4: Simplify right side
    1,282.28x = 778,592.32
  5. Step 5: Solve for x
    x = 778,592.32/1,282.28
  6. Step 6: Final answer
    x = 607.19

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