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Finding the Fourth Proportional to 1,261.40, 1,892.10 and 713.20

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Solution

The fourth proportional to 1,261.40, 1,892.10 and 713.20 is: 1,069.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.40 : 1,892.10 = 713.20 : x
  2. Step 2: Convert to fraction form
    1,261.40/1,892.10 = 713.20/x
  3. Step 3: Cross multiply
    1,261.40x = 1,892.10 × 713.20
  4. Step 4: Simplify right side
    1,261.40x = 1,349,445.72
  5. Step 5: Solve for x
    x = 1,349,445.72/1,261.40
  6. Step 6: Final answer
    x = 1,069.80

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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.