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Finding the Fourth Proportional to 1,092.94, 1,507.50 and 699.77

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Solution

The fourth proportional to 1,092.94, 1,507.50 and 699.77 is: 965.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.94 : 1,507.50 = 699.77 : x
  2. Step 2: Convert to fraction form
    1,092.94/1,507.50 = 699.77/x
  3. Step 3: Cross multiply
    1,092.94x = 1,507.50 × 699.77
  4. Step 4: Simplify right side
    1,092.94x = 1,054,907.04
  5. Step 5: Solve for x
    x = 1,054,907.04/1,092.94
  6. Step 6: Final answer
    x = 965.20

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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.