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Finding the Fourth Proportional to 1,282.64, 1,923.84 and 417

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Solution

The fourth proportional to 1,282.64, 1,923.84 and 417 is: 625.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.64 : 1,923.84 = 417 : x
  2. Step 2: Convert to fraction form
    1,282.64/1,923.84 = 417/x
  3. Step 3: Cross multiply
    1,282.64x = 1,923.84 × 417
  4. Step 4: Simplify right side
    1,282.64x = 802,241.28
  5. Step 5: Solve for x
    x = 802,241.28/1,282.64
  6. Step 6: Final answer
    x = 625.46

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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.