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Finding the Fourth Proportional to 1,282.79, 1,924.37 and 417.17

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Solution

The fourth proportional to 1,282.79, 1,924.37 and 417.17 is: 625.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.79 : 1,924.37 = 417.17 : x
  2. Step 2: Convert to fraction form
    1,282.79/1,924.37 = 417.17/x
  3. Step 3: Cross multiply
    1,282.79x = 1,924.37 × 417.17
  4. Step 4: Simplify right side
    1,282.79x = 802,789.43
  5. Step 5: Solve for x
    x = 802,789.43/1,282.79
  6. Step 6: Final answer
    x = 625.82

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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.