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Finding the Fourth Proportional to 1,140.44, 1,706.52 and 722.48

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Solution

The fourth proportional to 1,140.44, 1,706.52 and 722.48 is: 1,081.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.44 : 1,706.52 = 722.48 : x
  2. Step 2: Convert to fraction form
    1,140.44/1,706.52 = 722.48/x
  3. Step 3: Cross multiply
    1,140.44x = 1,706.52 × 722.48
  4. Step 4: Simplify right side
    1,140.44x = 1,232,926.57
  5. Step 5: Solve for x
    x = 1,232,926.57/1,140.44
  6. Step 6: Final answer
    x = 1,081.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.