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Finding the Fourth Proportional to 1,176.73, 1,623.90 and 652.78

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Solution

The fourth proportional to 1,176.73, 1,623.90 and 652.78 is: 900.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.73 : 1,623.90 = 652.78 : x
  2. Step 2: Convert to fraction form
    1,176.73/1,623.90 = 652.78/x
  3. Step 3: Cross multiply
    1,176.73x = 1,623.90 × 652.78
  4. Step 4: Simplify right side
    1,176.73x = 1,060,049.44
  5. Step 5: Solve for x
    x = 1,060,049.44/1,176.73
  6. Step 6: Final answer
    x = 900.84

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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.