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Finding the Fourth Proportional to 1,262.49, 1,894.24 and 568.67

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Solution

The fourth proportional to 1,262.49, 1,894.24 and 568.67 is: 853.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.49 : 1,894.24 = 568.67 : x
  2. Step 2: Convert to fraction form
    1,262.49/1,894.24 = 568.67/x
  3. Step 3: Cross multiply
    1,262.49x = 1,894.24 × 568.67
  4. Step 4: Simplify right side
    1,262.49x = 1,077,188.70
  5. Step 5: Solve for x
    x = 1,077,188.70/1,262.49
  6. Step 6: Final answer
    x = 853.23

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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.