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Finding the Fourth Proportional to 1,091.77, 1,507.64 and 699.49

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Solution

The fourth proportional to 1,091.77, 1,507.64 and 699.49 is: 965.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.77 : 1,507.64 = 699.49 : x
  2. Step 2: Convert to fraction form
    1,091.77/1,507.64 = 699.49/x
  3. Step 3: Cross multiply
    1,091.77x = 1,507.64 × 699.49
  4. Step 4: Simplify right side
    1,091.77x = 1,054,579.10
  5. Step 5: Solve for x
    x = 1,054,579.10/1,091.77
  6. Step 6: Final answer
    x = 965.94

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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.