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Finding the Fourth Proportional to 1,076.64, 1,614.64 and 307.20

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Solution

The fourth proportional to 1,076.64, 1,614.64 and 307.20 is: 460.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.64 : 1,614.64 = 307.20 : x
  2. Step 2: Convert to fraction form
    1,076.64/1,614.64 = 307.20/x
  3. Step 3: Cross multiply
    1,076.64x = 1,614.64 × 307.20
  4. Step 4: Simplify right side
    1,076.64x = 496,017.41
  5. Step 5: Solve for x
    x = 496,017.41/1,076.64
  6. Step 6: Final answer
    x = 460.71

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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.