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Finding the Fourth Proportional to 1,283.70, 1,924.40 and 461.78

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Solution

The fourth proportional to 1,283.70, 1,924.40 and 461.78 is: 692.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.70 : 1,924.40 = 461.78 : x
  2. Step 2: Convert to fraction form
    1,283.70/1,924.40 = 461.78/x
  3. Step 3: Cross multiply
    1,283.70x = 1,924.40 × 461.78
  4. Step 4: Simplify right side
    1,283.70x = 888,647.12
  5. Step 5: Solve for x
    x = 888,647.12/1,283.70
  6. Step 6: Final answer
    x = 692.25

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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.