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Finding the Fourth Proportional to 1,102.94, 1,657.66 and 720.62

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Solution

The fourth proportional to 1,102.94, 1,657.66 and 720.62 is: 1,083.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.94 : 1,657.66 = 720.62 : x
  2. Step 2: Convert to fraction form
    1,102.94/1,657.66 = 720.62/x
  3. Step 3: Cross multiply
    1,102.94x = 1,657.66 × 720.62
  4. Step 4: Simplify right side
    1,102.94x = 1,194,542.95
  5. Step 5: Solve for x
    x = 1,194,542.95/1,102.94
  6. Step 6: Final answer
    x = 1,083.05

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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.