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Finding the Fourth Proportional to 1,241.96, 1,862.93 and 420.23

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Solution

The fourth proportional to 1,241.96, 1,862.93 and 420.23 is: 630.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.96 : 1,862.93 = 420.23 : x
  2. Step 2: Convert to fraction form
    1,241.96/1,862.93 = 420.23/x
  3. Step 3: Cross multiply
    1,241.96x = 1,862.93 × 420.23
  4. Step 4: Simplify right side
    1,241.96x = 782,864.78
  5. Step 5: Solve for x
    x = 782,864.78/1,241.96
  6. Step 6: Final answer
    x = 630.35

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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.