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Finding the Fourth Proportional to 1,283.12, 1,924.82 and 358.68

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Solution

The fourth proportional to 1,283.12, 1,924.82 and 358.68 is: 538.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.12 : 1,924.82 = 358.68 : x
  2. Step 2: Convert to fraction form
    1,283.12/1,924.82 = 358.68/x
  3. Step 3: Cross multiply
    1,283.12x = 1,924.82 × 358.68
  4. Step 4: Simplify right side
    1,283.12x = 690,394.44
  5. Step 5: Solve for x
    x = 690,394.44/1,283.12
  6. Step 6: Final answer
    x = 538.06

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Why These Related Problems?

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