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Finding the Fourth Proportional to 1,261.98, 1,893.15 and 337.57

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Solution

The fourth proportional to 1,261.98, 1,893.15 and 337.57 is: 506.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.98 : 1,893.15 = 337.57 : x
  2. Step 2: Convert to fraction form
    1,261.98/1,893.15 = 337.57/x
  3. Step 3: Cross multiply
    1,261.98x = 1,893.15 × 337.57
  4. Step 4: Simplify right side
    1,261.98x = 639,068.96
  5. Step 5: Solve for x
    x = 639,068.96/1,261.98
  6. Step 6: Final answer
    x = 506.40

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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.