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Finding the Fourth Proportional to 1,343.81, 2,015.75 and 478.13

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Solution

The fourth proportional to 1,343.81, 2,015.75 and 478.13 is: 717.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.81 : 2,015.75 = 478.13 : x
  2. Step 2: Convert to fraction form
    1,343.81/2,015.75 = 478.13/x
  3. Step 3: Cross multiply
    1,343.81x = 2,015.75 × 478.13
  4. Step 4: Simplify right side
    1,343.81x = 963,781.66
  5. Step 5: Solve for x
    x = 963,781.66/1,343.81
  6. Step 6: Final answer
    x = 717.20

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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.