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Finding the Fourth Proportional to 1,283.95, 1,924.77 and 462.03

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Solution

The fourth proportional to 1,283.95, 1,924.77 and 462.03 is: 692.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.95 : 1,924.77 = 462.03 : x
  2. Step 2: Convert to fraction form
    1,283.95/1,924.77 = 462.03/x
  3. Step 3: Cross multiply
    1,283.95x = 1,924.77 × 462.03
  4. Step 4: Simplify right side
    1,283.95x = 889,301.48
  5. Step 5: Solve for x
    x = 889,301.48/1,283.95
  6. Step 6: Final answer
    x = 692.63

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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.