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Finding the Fourth Proportional to 1,012.58, 1,518.73 and 282.09

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Solution

The fourth proportional to 1,012.58, 1,518.73 and 282.09 is: 423.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.58 : 1,518.73 = 282.09 : x
  2. Step 2: Convert to fraction form
    1,012.58/1,518.73 = 282.09/x
  3. Step 3: Cross multiply
    1,012.58x = 1,518.73 × 282.09
  4. Step 4: Simplify right side
    1,012.58x = 428,417.84
  5. Step 5: Solve for x
    x = 428,417.84/1,012.58
  6. Step 6: Final answer
    x = 423.10

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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.