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Finding the Fourth Proportional to 974.78, 1,467.68 and 859.94

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Solution

The fourth proportional to 974.78, 1,467.68 and 859.94 is: 1,294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.78 : 1,467.68 = 859.94 : x
  2. Step 2: Convert to fraction form
    974.78/1,467.68 = 859.94/x
  3. Step 3: Cross multiply
    974.78x = 1,467.68 × 859.94
  4. Step 4: Simplify right side
    974.78x = 1,262,116.74
  5. Step 5: Solve for x
    x = 1,262,116.74/974.78
  6. Step 6: Final answer
    x = 1,294.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.