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Finding the Fourth Proportional to 1,108.67, 1,662.93 and 432.53

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Solution

The fourth proportional to 1,108.67, 1,662.93 and 432.53 is: 648.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.67 : 1,662.93 = 432.53 : x
  2. Step 2: Convert to fraction form
    1,108.67/1,662.93 = 432.53/x
  3. Step 3: Cross multiply
    1,108.67x = 1,662.93 × 432.53
  4. Step 4: Simplify right side
    1,108.67x = 719,258.80
  5. Step 5: Solve for x
    x = 719,258.80/1,108.67
  6. Step 6: Final answer
    x = 648.76

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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.