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Finding the Fourth Proportional to 1,282.83, 1,924.14 and 358.31

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Solution

The fourth proportional to 1,282.83, 1,924.14 and 358.31 is: 537.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.83 : 1,924.14 = 358.31 : x
  2. Step 2: Convert to fraction form
    1,282.83/1,924.14 = 358.31/x
  3. Step 3: Cross multiply
    1,282.83x = 1,924.14 × 358.31
  4. Step 4: Simplify right side
    1,282.83x = 689,438.60
  5. Step 5: Solve for x
    x = 689,438.60/1,282.83
  6. Step 6: Final answer
    x = 537.44

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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.