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Finding the Fourth Proportional to 1,347.41, 2,021.90 and 800.66

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Solution

The fourth proportional to 1,347.41, 2,021.90 and 800.66 is: 1,201.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.41 : 2,021.90 = 800.66 : x
  2. Step 2: Convert to fraction form
    1,347.41/2,021.90 = 800.66/x
  3. Step 3: Cross multiply
    1,347.41x = 2,021.90 × 800.66
  4. Step 4: Simplify right side
    1,347.41x = 1,618,840.34
  5. Step 5: Solve for x
    x = 1,618,840.34/1,347.41
  6. Step 6: Final answer
    x = 1,201.45

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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.