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Finding the Fourth Proportional to 1,101.42, 1,519.92 and 653.09

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Solution

The fourth proportional to 1,101.42, 1,519.92 and 653.09 is: 901.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.42 : 1,519.92 = 653.09 : x
  2. Step 2: Convert to fraction form
    1,101.42/1,519.92 = 653.09/x
  3. Step 3: Cross multiply
    1,101.42x = 1,519.92 × 653.09
  4. Step 4: Simplify right side
    1,101.42x = 992,636.95
  5. Step 5: Solve for x
    x = 992,636.95/1,101.42
  6. Step 6: Final answer
    x = 901.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.