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Finding the Fourth Proportional to 1,578.68, 2,368.30 and 483.02

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Solution

The fourth proportional to 1,578.68, 2,368.30 and 483.02 is: 724.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.68 : 2,368.30 = 483.02 : x
  2. Step 2: Convert to fraction form
    1,578.68/2,368.30 = 483.02/x
  3. Step 3: Cross multiply
    1,578.68x = 2,368.30 × 483.02
  4. Step 4: Simplify right side
    1,578.68x = 1,143,936.27
  5. Step 5: Solve for x
    x = 1,143,936.27/1,578.68
  6. Step 6: Final answer
    x = 724.62

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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.