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Finding the Fourth Proportional to 923.78, 1,377.56 and 784.46

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Solution

The fourth proportional to 923.78, 1,377.56 and 784.46 is: 1,169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.78 : 1,377.56 = 784.46 : x
  2. Step 2: Convert to fraction form
    923.78/1,377.56 = 784.46/x
  3. Step 3: Cross multiply
    923.78x = 1,377.56 × 784.46
  4. Step 4: Simplify right side
    923.78x = 1,080,640.72
  5. Step 5: Solve for x
    x = 1,080,640.72/923.78
  6. Step 6: Final answer
    x = 1,169.80

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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.