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Finding the Fourth Proportional to 979.82, 1,467.57 and 594.26

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Solution

The fourth proportional to 979.82, 1,467.57 and 594.26 is: 890.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.82 : 1,467.57 = 594.26 : x
  2. Step 2: Convert to fraction form
    979.82/1,467.57 = 594.26/x
  3. Step 3: Cross multiply
    979.82x = 1,467.57 × 594.26
  4. Step 4: Simplify right side
    979.82x = 872,118.15
  5. Step 5: Solve for x
    x = 872,118.15/979.82
  6. Step 6: Final answer
    x = 890.08

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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.