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Finding the Fourth Proportional to 1,273.63, 1,757.61 and 714.10

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Solution

The fourth proportional to 1,273.63, 1,757.61 and 714.10 is: 985.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.63 : 1,757.61 = 714.10 : x
  2. Step 2: Convert to fraction form
    1,273.63/1,757.61 = 714.10/x
  3. Step 3: Cross multiply
    1,273.63x = 1,757.61 × 714.10
  4. Step 4: Simplify right side
    1,273.63x = 1,255,109.30
  5. Step 5: Solve for x
    x = 1,255,109.30/1,273.63
  6. Step 6: Final answer
    x = 985.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.