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Finding the Fourth Proportional to 1,116.19, 1,539.82 and 723.34

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Solution

The fourth proportional to 1,116.19, 1,539.82 and 723.34 is: 997.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.19 : 1,539.82 = 723.34 : x
  2. Step 2: Convert to fraction form
    1,116.19/1,539.82 = 723.34/x
  3. Step 3: Cross multiply
    1,116.19x = 1,539.82 × 723.34
  4. Step 4: Simplify right side
    1,116.19x = 1,113,813.40
  5. Step 5: Solve for x
    x = 1,113,813.40/1,116.19
  6. Step 6: Final answer
    x = 997.87

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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.