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Finding the Fourth Proportional to 1,283.06, 1,769.13 and 898.82

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Solution

The fourth proportional to 1,283.06, 1,769.13 and 898.82 is: 1,239.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.06 : 1,769.13 = 898.82 : x
  2. Step 2: Convert to fraction form
    1,283.06/1,769.13 = 898.82/x
  3. Step 3: Cross multiply
    1,283.06x = 1,769.13 × 898.82
  4. Step 4: Simplify right side
    1,283.06x = 1,590,129.43
  5. Step 5: Solve for x
    x = 1,590,129.43/1,283.06
  6. Step 6: Final answer
    x = 1,239.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.