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Finding the Fourth Proportional to 1,176.42, 1,623.60 and 803.28

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Solution

The fourth proportional to 1,176.42, 1,623.60 and 803.28 is: 1,108.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.42 : 1,623.60 = 803.28 : x
  2. Step 2: Convert to fraction form
    1,176.42/1,623.60 = 803.28/x
  3. Step 3: Cross multiply
    1,176.42x = 1,623.60 × 803.28
  4. Step 4: Simplify right side
    1,176.42x = 1,304,205.41
  5. Step 5: Solve for x
    x = 1,304,205.41/1,176.42
  6. Step 6: Final answer
    x = 1,108.62

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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.