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Finding the Fourth Proportional to 1,113.75, 1,537.09 and 641.67

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Solution

The fourth proportional to 1,113.75, 1,537.09 and 641.67 is: 885.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.75 : 1,537.09 = 641.67 : x
  2. Step 2: Convert to fraction form
    1,113.75/1,537.09 = 641.67/x
  3. Step 3: Cross multiply
    1,113.75x = 1,537.09 × 641.67
  4. Step 4: Simplify right side
    1,113.75x = 986,302.94
  5. Step 5: Solve for x
    x = 986,302.94/1,113.75
  6. Step 6: Final answer
    x = 885.57

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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.