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Finding the Fourth Proportional to 1,102.01, 1,653.06 and 452.75

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Solution

The fourth proportional to 1,102.01, 1,653.06 and 452.75 is: 679.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.01 : 1,653.06 = 452.75 : x
  2. Step 2: Convert to fraction form
    1,102.01/1,653.06 = 452.75/x
  3. Step 3: Cross multiply
    1,102.01x = 1,653.06 × 452.75
  4. Step 4: Simplify right side
    1,102.01x = 748,422.92
  5. Step 5: Solve for x
    x = 748,422.92/1,102.01
  6. Step 6: Final answer
    x = 679.14

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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.