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Finding the Fourth Proportional to 1,344.81, 2,017.40 and 478.83

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Solution

The fourth proportional to 1,344.81, 2,017.40 and 478.83 is: 718.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.81 : 2,017.40 = 478.83 : x
  2. Step 2: Convert to fraction form
    1,344.81/2,017.40 = 478.83/x
  3. Step 3: Cross multiply
    1,344.81x = 2,017.40 × 478.83
  4. Step 4: Simplify right side
    1,344.81x = 965,989.25
  5. Step 5: Solve for x
    x = 965,989.25/1,344.81
  6. Step 6: Final answer
    x = 718.31

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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.