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Finding the Fourth Proportional to 1,476.44, 2,214.92 and 610.28

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Solution

The fourth proportional to 1,476.44, 2,214.92 and 610.28 is: 915.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.44 : 2,214.92 = 610.28 : x
  2. Step 2: Convert to fraction form
    1,476.44/2,214.92 = 610.28/x
  3. Step 3: Cross multiply
    1,476.44x = 2,214.92 × 610.28
  4. Step 4: Simplify right side
    1,476.44x = 1,351,721.38
  5. Step 5: Solve for x
    x = 1,351,721.38/1,476.44
  6. Step 6: Final answer
    x = 915.53

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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.