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Finding the Fourth Proportional to 1,172.45, 1,759.19 and 624.50

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Solution

The fourth proportional to 1,172.45, 1,759.19 and 624.50 is: 937.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.45 : 1,759.19 = 624.50 : x
  2. Step 2: Convert to fraction form
    1,172.45/1,759.19 = 624.50/x
  3. Step 3: Cross multiply
    1,172.45x = 1,759.19 × 624.50
  4. Step 4: Simplify right side
    1,172.45x = 1,098,602.24
  5. Step 5: Solve for x
    x = 1,098,602.24/1,172.45
  6. Step 6: Final answer
    x = 937.02

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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.