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Finding the Fourth Proportional to 1,101.76, 1,653.84 and 992.80

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Solution

The fourth proportional to 1,101.76, 1,653.84 and 992.80 is: 1,490.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.76 : 1,653.84 = 992.80 : x
  2. Step 2: Convert to fraction form
    1,101.76/1,653.84 = 992.80/x
  3. Step 3: Cross multiply
    1,101.76x = 1,653.84 × 992.80
  4. Step 4: Simplify right side
    1,101.76x = 1,641,932.35
  5. Step 5: Solve for x
    x = 1,641,932.35/1,101.76
  6. Step 6: Final answer
    x = 1,490.28

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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.