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Finding the Fourth Proportional to 979.30, 1,465.30 and 546.76

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Solution

The fourth proportional to 979.30, 1,465.30 and 546.76 is: 818.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.30 : 1,465.30 = 546.76 : x
  2. Step 2: Convert to fraction form
    979.30/1,465.30 = 546.76/x
  3. Step 3: Cross multiply
    979.30x = 1,465.30 × 546.76
  4. Step 4: Simplify right side
    979.30x = 801,167.43
  5. Step 5: Solve for x
    x = 801,167.43/979.30
  6. Step 6: Final answer
    x = 818.10

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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.