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Finding the Fourth Proportional to 1,282.49, 1,922.36 and 542.50

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Solution

The fourth proportional to 1,282.49, 1,922.36 and 542.50 is: 813.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.49 : 1,922.36 = 542.50 : x
  2. Step 2: Convert to fraction form
    1,282.49/1,922.36 = 542.50/x
  3. Step 3: Cross multiply
    1,282.49x = 1,922.36 × 542.50
  4. Step 4: Simplify right side
    1,282.49x = 1,042,880.30
  5. Step 5: Solve for x
    x = 1,042,880.30/1,282.49
  6. Step 6: Final answer
    x = 813.17

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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.