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Finding the Fourth Proportional to 1,193.31, 1,645.17 and 838.77

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Solution

The fourth proportional to 1,193.31, 1,645.17 and 838.77 is: 1,156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.31 : 1,645.17 = 838.77 : x
  2. Step 2: Convert to fraction form
    1,193.31/1,645.17 = 838.77/x
  3. Step 3: Cross multiply
    1,193.31x = 1,645.17 × 838.77
  4. Step 4: Simplify right side
    1,193.31x = 1,379,919.24
  5. Step 5: Solve for x
    x = 1,379,919.24/1,193.31
  6. Step 6: Final answer
    x = 1,156.38

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Double scale
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1.5x scale

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.