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Finding the Fourth Proportional to 980.14, 1,468.16 and 460.58

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Solution

The fourth proportional to 980.14, 1,468.16 and 460.58 is: 689.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.14 : 1,468.16 = 460.58 : x
  2. Step 2: Convert to fraction form
    980.14/1,468.16 = 460.58/x
  3. Step 3: Cross multiply
    980.14x = 1,468.16 × 460.58
  4. Step 4: Simplify right side
    980.14x = 676,205.13
  5. Step 5: Solve for x
    x = 676,205.13/980.14
  6. Step 6: Final answer
    x = 689.91

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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.