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Finding the Fourth Proportional to 1,283.10, 1,924.62 and 405.55

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Solution

The fourth proportional to 1,283.10, 1,924.62 and 405.55 is: 608.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.10 : 1,924.62 = 405.55 : x
  2. Step 2: Convert to fraction form
    1,283.10/1,924.62 = 405.55/x
  3. Step 3: Cross multiply
    1,283.10x = 1,924.62 × 405.55
  4. Step 4: Simplify right side
    1,283.10x = 780,529.64
  5. Step 5: Solve for x
    x = 780,529.64/1,283.10
  6. Step 6: Final answer
    x = 608.32

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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.