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Finding the Fourth Proportional to 1,696, 2,544.96 and 784

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Solution

The fourth proportional to 1,696, 2,544.96 and 784 is: 1,176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696 : 2,544.96 = 784 : x
  2. Step 2: Convert to fraction form
    1,696/2,544.96 = 784/x
  3. Step 3: Cross multiply
    1,696x = 2,544.96 × 784
  4. Step 4: Simplify right side
    1,696x = 1,995,248.64
  5. Step 5: Solve for x
    x = 1,995,248.64/1,696
  6. Step 6: Final answer
    x = 1,176.44

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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.