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Finding the Fourth Proportional to 1,282.43, 1,923.57 and 358.04

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Solution

The fourth proportional to 1,282.43, 1,923.57 and 358.04 is: 537.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.43 : 1,923.57 = 358.04 : x
  2. Step 2: Convert to fraction form
    1,282.43/1,923.57 = 358.04/x
  3. Step 3: Cross multiply
    1,282.43x = 1,923.57 × 358.04
  4. Step 4: Simplify right side
    1,282.43x = 688,705.38
  5. Step 5: Solve for x
    x = 688,705.38/1,282.43
  6. Step 6: Final answer
    x = 537.03

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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.