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Finding the Fourth Proportional to 979.56, 1,468.80 and 961.20

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Solution

The fourth proportional to 979.56, 1,468.80 and 961.20 is: 1,441.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.56 : 1,468.80 = 961.20 : x
  2. Step 2: Convert to fraction form
    979.56/1,468.80 = 961.20/x
  3. Step 3: Cross multiply
    979.56x = 1,468.80 × 961.20
  4. Step 4: Simplify right side
    979.56x = 1,411,810.56
  5. Step 5: Solve for x
    x = 1,411,810.56/979.56
  6. Step 6: Final answer
    x = 1,441.27

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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.