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Finding the Fourth Proportional to 979.58, 1,468.74 and 546.14

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Solution

The fourth proportional to 979.58, 1,468.74 and 546.14 is: 818.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.58 : 1,468.74 = 546.14 : x
  2. Step 2: Convert to fraction form
    979.58/1,468.74 = 546.14/x
  3. Step 3: Cross multiply
    979.58x = 1,468.74 × 546.14
  4. Step 4: Simplify right side
    979.58x = 802,137.66
  5. Step 5: Solve for x
    x = 802,137.66/979.58
  6. Step 6: Final answer
    x = 818.86

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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.