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Finding the Fourth Proportional to 1,347.34, 2,020.92 and 469.78

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Solution

The fourth proportional to 1,347.34, 2,020.92 and 469.78 is: 704.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.34 : 2,020.92 = 469.78 : x
  2. Step 2: Convert to fraction form
    1,347.34/2,020.92 = 469.78/x
  3. Step 3: Cross multiply
    1,347.34x = 2,020.92 × 469.78
  4. Step 4: Simplify right side
    1,347.34x = 949,385.66
  5. Step 5: Solve for x
    x = 949,385.66/1,347.34
  6. Step 6: Final answer
    x = 704.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.