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Finding the Fourth Proportional to 784.06, 1,176.10 and 206.94

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Solution

The fourth proportional to 784.06, 1,176.10 and 206.94 is: 310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.06 : 1,176.10 = 206.94 : x
  2. Step 2: Convert to fraction form
    784.06/1,176.10 = 206.94/x
  3. Step 3: Cross multiply
    784.06x = 1,176.10 × 206.94
  4. Step 4: Simplify right side
    784.06x = 243,382.13
  5. Step 5: Solve for x
    x = 243,382.13/784.06
  6. Step 6: Final answer
    x = 310.41

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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.