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Finding the Fourth Proportional to 1,116.98, 1,542.14 and 719.34

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Solution

The fourth proportional to 1,116.98, 1,542.14 and 719.34 is: 993.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.98 : 1,542.14 = 719.34 : x
  2. Step 2: Convert to fraction form
    1,116.98/1,542.14 = 719.34/x
  3. Step 3: Cross multiply
    1,116.98x = 1,542.14 × 719.34
  4. Step 4: Simplify right side
    1,116.98x = 1,109,311.68
  5. Step 5: Solve for x
    x = 1,109,311.68/1,116.98
  6. Step 6: Final answer
    x = 993.13

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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.