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Finding the Fourth Proportional to 1,173.57, 1,758.80 and 624.57

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Solution

The fourth proportional to 1,173.57, 1,758.80 and 624.57 is: 936.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.57 : 1,758.80 = 624.57 : x
  2. Step 2: Convert to fraction form
    1,173.57/1,758.80 = 624.57/x
  3. Step 3: Cross multiply
    1,173.57x = 1,758.80 × 624.57
  4. Step 4: Simplify right side
    1,173.57x = 1,098,493.72
  5. Step 5: Solve for x
    x = 1,098,493.72/1,173.57
  6. Step 6: Final answer
    x = 936.03

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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.