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Finding the Fourth Proportional to 1,112.74, 1,536.06 and 720.40

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Solution

The fourth proportional to 1,112.74, 1,536.06 and 720.40 is: 994.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.74 : 1,536.06 = 720.40 : x
  2. Step 2: Convert to fraction form
    1,112.74/1,536.06 = 720.40/x
  3. Step 3: Cross multiply
    1,112.74x = 1,536.06 × 720.40
  4. Step 4: Simplify right side
    1,112.74x = 1,106,577.62
  5. Step 5: Solve for x
    x = 1,106,577.62/1,112.74
  6. Step 6: Final answer
    x = 994.46

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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.