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Finding the Fourth Proportional to 856, 1,180.20 and 634.58

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Solution

The fourth proportional to 856, 1,180.20 and 634.58 is: 874.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    856 : 1,180.20 = 634.58 : x
  2. Step 2: Convert to fraction form
    856/1,180.20 = 634.58/x
  3. Step 3: Cross multiply
    856x = 1,180.20 × 634.58
  4. Step 4: Simplify right side
    856x = 748,931.32
  5. Step 5: Solve for x
    x = 748,931.32/856
  6. Step 6: Final answer
    x = 874.92

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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.