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Finding the Fourth Proportional to 969.67, 1,456.51 and 784.79

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Solution

The fourth proportional to 969.67, 1,456.51 and 784.79 is: 1,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.67 : 1,456.51 = 784.79 : x
  2. Step 2: Convert to fraction form
    969.67/1,456.51 = 784.79/x
  3. Step 3: Cross multiply
    969.67x = 1,456.51 × 784.79
  4. Step 4: Simplify right side
    969.67x = 1,143,045.24
  5. Step 5: Solve for x
    x = 1,143,045.24/969.67
  6. Step 6: Final answer
    x = 1,178.80

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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.