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Finding the Fourth Proportional to 1,101.43, 1,652.37 and 895.49

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Solution

The fourth proportional to 1,101.43, 1,652.37 and 895.49 is: 1,343.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.43 : 1,652.37 = 895.49 : x
  2. Step 2: Convert to fraction form
    1,101.43/1,652.37 = 895.49/x
  3. Step 3: Cross multiply
    1,101.43x = 1,652.37 × 895.49
  4. Step 4: Simplify right side
    1,101.43x = 1,479,668.07
  5. Step 5: Solve for x
    x = 1,479,668.07/1,101.43
  6. Step 6: Final answer
    x = 1,343.41

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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.