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Finding the Fourth Proportional to 1,076.96, 1,614.36 and 500.24

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Solution

The fourth proportional to 1,076.96, 1,614.36 and 500.24 is: 749.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.96 : 1,614.36 = 500.24 : x
  2. Step 2: Convert to fraction form
    1,076.96/1,614.36 = 500.24/x
  3. Step 3: Cross multiply
    1,076.96x = 1,614.36 × 500.24
  4. Step 4: Simplify right side
    1,076.96x = 807,567.45
  5. Step 5: Solve for x
    x = 807,567.45/1,076.96
  6. Step 6: Final answer
    x = 749.86

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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.