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Finding the Fourth Proportional to 1,348.11, 2,019.93 and 470.15

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Solution

The fourth proportional to 1,348.11, 2,019.93 and 470.15 is: 704.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.11 : 2,019.93 = 470.15 : x
  2. Step 2: Convert to fraction form
    1,348.11/2,019.93 = 470.15/x
  3. Step 3: Cross multiply
    1,348.11x = 2,019.93 × 470.15
  4. Step 4: Simplify right side
    1,348.11x = 949,670.09
  5. Step 5: Solve for x
    x = 949,670.09/1,348.11
  6. Step 6: Final answer
    x = 704.45

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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.