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Finding the Fourth Proportional to 1,242.45, 1,714.11 and 711.23

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Solution

The fourth proportional to 1,242.45, 1,714.11 and 711.23 is: 981.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.45 : 1,714.11 = 711.23 : x
  2. Step 2: Convert to fraction form
    1,242.45/1,714.11 = 711.23/x
  3. Step 3: Cross multiply
    1,242.45x = 1,714.11 × 711.23
  4. Step 4: Simplify right side
    1,242.45x = 1,219,114.33
  5. Step 5: Solve for x
    x = 1,219,114.33/1,242.45
  6. Step 6: Final answer
    x = 981.22

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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.