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Finding the Fourth Proportional to 1,282.30, 1,923.04 and 632.95

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Solution

The fourth proportional to 1,282.30, 1,923.04 and 632.95 is: 949.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.30 : 1,923.04 = 632.95 : x
  2. Step 2: Convert to fraction form
    1,282.30/1,923.04 = 632.95/x
  3. Step 3: Cross multiply
    1,282.30x = 1,923.04 × 632.95
  4. Step 4: Simplify right side
    1,282.30x = 1,217,188.17
  5. Step 5: Solve for x
    x = 1,217,188.17/1,282.30
  6. Step 6: Final answer
    x = 949.22

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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.