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Finding the Fourth Proportional to 1,282.75, 1,924.14 and 358.33

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Solution

The fourth proportional to 1,282.75, 1,924.14 and 358.33 is: 537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.75 : 1,924.14 = 358.33 : x
  2. Step 2: Convert to fraction form
    1,282.75/1,924.14 = 358.33/x
  3. Step 3: Cross multiply
    1,282.75x = 1,924.14 × 358.33
  4. Step 4: Simplify right side
    1,282.75x = 689,477.09
  5. Step 5: Solve for x
    x = 689,477.09/1,282.75
  6. Step 6: Final answer
    x = 537.50

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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.