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Finding the Fourth Proportional to 1,283.82, 1,925.81 and 406.35

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Solution

The fourth proportional to 1,283.82, 1,925.81 and 406.35 is: 609.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.82 : 1,925.81 = 406.35 : x
  2. Step 2: Convert to fraction form
    1,283.82/1,925.81 = 406.35/x
  3. Step 3: Cross multiply
    1,283.82x = 1,925.81 × 406.35
  4. Step 4: Simplify right side
    1,283.82x = 782,552.89
  5. Step 5: Solve for x
    x = 782,552.89/1,283.82
  6. Step 6: Final answer
    x = 609.55

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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.