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Finding the Fourth Proportional to 1,165.64, 1,608.57 and 699.89

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Solution

The fourth proportional to 1,165.64, 1,608.57 and 699.89 is: 965.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.64 : 1,608.57 = 699.89 : x
  2. Step 2: Convert to fraction form
    1,165.64/1,608.57 = 699.89/x
  3. Step 3: Cross multiply
    1,165.64x = 1,608.57 × 699.89
  4. Step 4: Simplify right side
    1,165.64x = 1,125,822.06
  5. Step 5: Solve for x
    x = 1,125,822.06/1,165.64
  6. Step 6: Final answer
    x = 965.84

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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.