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Finding the Fourth Proportional to 1,137.69, 1,570.95 and 695.84

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Solution

The fourth proportional to 1,137.69, 1,570.95 and 695.84 is: 960.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.69 : 1,570.95 = 695.84 : x
  2. Step 2: Convert to fraction form
    1,137.69/1,570.95 = 695.84/x
  3. Step 3: Cross multiply
    1,137.69x = 1,570.95 × 695.84
  4. Step 4: Simplify right side
    1,137.69x = 1,093,121.99
  5. Step 5: Solve for x
    x = 1,093,121.99/1,137.69
  6. Step 6: Final answer
    x = 960.83

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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.