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Finding the Fourth Proportional to 1,282.20, 1,923.45 and 404.77

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Solution

The fourth proportional to 1,282.20, 1,923.45 and 404.77 is: 607.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.20 : 1,923.45 = 404.77 : x
  2. Step 2: Convert to fraction form
    1,282.20/1,923.45 = 404.77/x
  3. Step 3: Cross multiply
    1,282.20x = 1,923.45 × 404.77
  4. Step 4: Simplify right side
    1,282.20x = 778,554.86
  5. Step 5: Solve for x
    x = 778,554.86/1,282.20
  6. Step 6: Final answer
    x = 607.20

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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.