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Finding the Fourth Proportional to 878.58, 1,317.42 and 467.82

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Solution

The fourth proportional to 878.58, 1,317.42 and 467.82 is: 701.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.58 : 1,317.42 = 467.82 : x
  2. Step 2: Convert to fraction form
    878.58/1,317.42 = 467.82/x
  3. Step 3: Cross multiply
    878.58x = 1,317.42 × 467.82
  4. Step 4: Simplify right side
    878.58x = 616,315.42
  5. Step 5: Solve for x
    x = 616,315.42/878.58
  6. Step 6: Final answer
    x = 701.49

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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.