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Finding the Fourth Proportional to 1,508.25, 2,262.51 and 482.25

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Solution

The fourth proportional to 1,508.25, 2,262.51 and 482.25 is: 723.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.25 : 2,262.51 = 482.25 : x
  2. Step 2: Convert to fraction form
    1,508.25/2,262.51 = 482.25/x
  3. Step 3: Cross multiply
    1,508.25x = 2,262.51 × 482.25
  4. Step 4: Simplify right side
    1,508.25x = 1,091,095.45
  5. Step 5: Solve for x
    x = 1,091,095.45/1,508.25
  6. Step 6: Final answer
    x = 723.42

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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.