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Finding the Fourth Proportional to 1,132.06, 1,698.93 and 842.62

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Solution

The fourth proportional to 1,132.06, 1,698.93 and 842.62 is: 1,264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.06 : 1,698.93 = 842.62 : x
  2. Step 2: Convert to fraction form
    1,132.06/1,698.93 = 842.62/x
  3. Step 3: Cross multiply
    1,132.06x = 1,698.93 × 842.62
  4. Step 4: Simplify right side
    1,132.06x = 1,431,552.40
  5. Step 5: Solve for x
    x = 1,431,552.40/1,132.06
  6. Step 6: Final answer
    x = 1,264.56

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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.