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Finding the Fourth Proportional to 894.10, 1,232.40 and 645.08

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Solution

The fourth proportional to 894.10, 1,232.40 and 645.08 is: 889.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.10 : 1,232.40 = 645.08 : x
  2. Step 2: Convert to fraction form
    894.10/1,232.40 = 645.08/x
  3. Step 3: Cross multiply
    894.10x = 1,232.40 × 645.08
  4. Step 4: Simplify right side
    894.10x = 794,996.59
  5. Step 5: Solve for x
    x = 794,996.59/894.10
  6. Step 6: Final answer
    x = 889.16

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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.