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Finding the Fourth Proportional to 1,284.35, 1,923.28 and 633.38

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Solution

The fourth proportional to 1,284.35, 1,923.28 and 633.38 is: 948.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.35 : 1,923.28 = 633.38 : x
  2. Step 2: Convert to fraction form
    1,284.35/1,923.28 = 633.38/x
  3. Step 3: Cross multiply
    1,284.35x = 1,923.28 × 633.38
  4. Step 4: Simplify right side
    1,284.35x = 1,218,155.89
  5. Step 5: Solve for x
    x = 1,218,155.89/1,284.35
  6. Step 6: Final answer
    x = 948.46

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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.