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Finding the Fourth Proportional to 979.14, 1,466.66 and 459.58

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Solution

The fourth proportional to 979.14, 1,466.66 and 459.58 is: 688.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.14 : 1,466.66 = 459.58 : x
  2. Step 2: Convert to fraction form
    979.14/1,466.66 = 459.58/x
  3. Step 3: Cross multiply
    979.14x = 1,466.66 × 459.58
  4. Step 4: Simplify right side
    979.14x = 674,047.60
  5. Step 5: Solve for x
    x = 674,047.60/979.14
  6. Step 6: Final answer
    x = 688.41

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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.