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Finding the Fourth Proportional to 979.35, 1,459.48 and 949.68

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Solution

The fourth proportional to 979.35, 1,459.48 and 949.68 is: 1,415.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.35 : 1,459.48 = 949.68 : x
  2. Step 2: Convert to fraction form
    979.35/1,459.48 = 949.68/x
  3. Step 3: Cross multiply
    979.35x = 1,459.48 × 949.68
  4. Step 4: Simplify right side
    979.35x = 1,386,038.97
  5. Step 5: Solve for x
    x = 1,386,038.97/979.35
  6. Step 6: Final answer
    x = 1,415.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.