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Finding the Fourth Proportional to 1,076.78, 1,614.78 and 491.30

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Solution

The fourth proportional to 1,076.78, 1,614.78 and 491.30 is: 736.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.78 : 1,614.78 = 491.30 : x
  2. Step 2: Convert to fraction form
    1,076.78/1,614.78 = 491.30/x
  3. Step 3: Cross multiply
    1,076.78x = 1,614.78 × 491.30
  4. Step 4: Simplify right side
    1,076.78x = 793,341.41
  5. Step 5: Solve for x
    x = 793,341.41/1,076.78
  6. Step 6: Final answer
    x = 736.77

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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.