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Finding the Fourth Proportional to 1,261.73, 1,892.73 and 714.98

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Solution

The fourth proportional to 1,261.73, 1,892.73 and 714.98 is: 1,072.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.73 : 1,892.73 = 714.98 : x
  2. Step 2: Convert to fraction form
    1,261.73/1,892.73 = 714.98/x
  3. Step 3: Cross multiply
    1,261.73x = 1,892.73 × 714.98
  4. Step 4: Simplify right side
    1,261.73x = 1,353,264.10
  5. Step 5: Solve for x
    x = 1,353,264.10/1,261.73
  6. Step 6: Final answer
    x = 1,072.55

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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.