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Finding the Fourth Proportional to 1,390.43, 2,086.23 and 610.03

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Solution

The fourth proportional to 1,390.43, 2,086.23 and 610.03 is: 915.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.43 : 2,086.23 = 610.03 : x
  2. Step 2: Convert to fraction form
    1,390.43/2,086.23 = 610.03/x
  3. Step 3: Cross multiply
    1,390.43x = 2,086.23 × 610.03
  4. Step 4: Simplify right side
    1,390.43x = 1,272,649.41
  5. Step 5: Solve for x
    x = 1,272,649.41/1,390.43
  6. Step 6: Final answer
    x = 915.29

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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.