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Finding the Fourth Proportional to 1,242.25, 1,714.64 and 711.43

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Solution

The fourth proportional to 1,242.25, 1,714.64 and 711.43 is: 981.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.25 : 1,714.64 = 711.43 : x
  2. Step 2: Convert to fraction form
    1,242.25/1,714.64 = 711.43/x
  3. Step 3: Cross multiply
    1,242.25x = 1,714.64 × 711.43
  4. Step 4: Simplify right side
    1,242.25x = 1,219,843.83
  5. Step 5: Solve for x
    x = 1,219,843.83/1,242.25
  6. Step 6: Final answer
    x = 981.97

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Why These Related Problems?

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