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Finding the Fourth Proportional to 1,135.98, 1,564.38 and 786.06

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Solution

The fourth proportional to 1,135.98, 1,564.38 and 786.06 is: 1,082.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.98 : 1,564.38 = 786.06 : x
  2. Step 2: Convert to fraction form
    1,135.98/1,564.38 = 786.06/x
  3. Step 3: Cross multiply
    1,135.98x = 1,564.38 × 786.06
  4. Step 4: Simplify right side
    1,135.98x = 1,229,696.54
  5. Step 5: Solve for x
    x = 1,229,696.54/1,135.98
  6. Step 6: Final answer
    x = 1,082.50

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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.