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Finding the Fourth Proportional to 894.62, 1,342.06 and 432.02

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Solution

The fourth proportional to 894.62, 1,342.06 and 432.02 is: 648.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.62 : 1,342.06 = 432.02 : x
  2. Step 2: Convert to fraction form
    894.62/1,342.06 = 432.02/x
  3. Step 3: Cross multiply
    894.62x = 1,342.06 × 432.02
  4. Step 4: Simplify right side
    894.62x = 579,796.76
  5. Step 5: Solve for x
    x = 579,796.76/894.62
  6. Step 6: Final answer
    x = 648.09

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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.