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Finding the Fourth Proportional to 1,176.46, 1,623.65 and 734.42

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Solution

The fourth proportional to 1,176.46, 1,623.65 and 734.42 is: 1,013.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.46 : 1,623.65 = 734.42 : x
  2. Step 2: Convert to fraction form
    1,176.46/1,623.65 = 734.42/x
  3. Step 3: Cross multiply
    1,176.46x = 1,623.65 × 734.42
  4. Step 4: Simplify right side
    1,176.46x = 1,192,441.42
  5. Step 5: Solve for x
    x = 1,192,441.42/1,176.46
  6. Step 6: Final answer
    x = 1,013.59

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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.