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Finding the Fourth Proportional to 1,012.51, 1,518.85 and 282.08

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Solution

The fourth proportional to 1,012.51, 1,518.85 and 282.08 is: 423.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.51 : 1,518.85 = 282.08 : x
  2. Step 2: Convert to fraction form
    1,012.51/1,518.85 = 282.08/x
  3. Step 3: Cross multiply
    1,012.51x = 1,518.85 × 282.08
  4. Step 4: Simplify right side
    1,012.51x = 428,441.36
  5. Step 5: Solve for x
    x = 428,441.36/1,012.51
  6. Step 6: Final answer
    x = 423.15

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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.