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Finding the Fourth Proportional to 979.33, 1,462 and 945.16

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Solution

The fourth proportional to 979.33, 1,462 and 945.16 is: 1,410.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.33 : 1,462 = 945.16 : x
  2. Step 2: Convert to fraction form
    979.33/1,462 = 945.16/x
  3. Step 3: Cross multiply
    979.33x = 1,462 × 945.16
  4. Step 4: Simplify right side
    979.33x = 1,381,823.92
  5. Step 5: Solve for x
    x = 1,381,823.92/979.33
  6. Step 6: Final answer
    x = 1,410.99

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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.