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Finding the Fourth Proportional to 1,578.59, 2,368.16 and 482.84

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Solution

The fourth proportional to 1,578.59, 2,368.16 and 482.84 is: 724.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.59 : 2,368.16 = 482.84 : x
  2. Step 2: Convert to fraction form
    1,578.59/2,368.16 = 482.84/x
  3. Step 3: Cross multiply
    1,578.59x = 2,368.16 × 482.84
  4. Step 4: Simplify right side
    1,578.59x = 1,143,439.96
  5. Step 5: Solve for x
    x = 1,143,439.96/1,578.59
  6. Step 6: Final answer
    x = 724.34

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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.