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Finding the Fourth Proportional to 837.69, 1,156 and 501.54

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Solution

The fourth proportional to 837.69, 1,156 and 501.54 is: 692.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.69 : 1,156 = 501.54 : x
  2. Step 2: Convert to fraction form
    837.69/1,156 = 501.54/x
  3. Step 3: Cross multiply
    837.69x = 1,156 × 501.54
  4. Step 4: Simplify right side
    837.69x = 579,780.24
  5. Step 5: Solve for x
    x = 579,780.24/837.69
  6. Step 6: Final answer
    x = 692.12

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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.