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Finding the Fourth Proportional to 1,165.24, 1,606.98 and 699.40

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Solution

The fourth proportional to 1,165.24, 1,606.98 and 699.40 is: 964.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.24 : 1,606.98 = 699.40 : x
  2. Step 2: Convert to fraction form
    1,165.24/1,606.98 = 699.40/x
  3. Step 3: Cross multiply
    1,165.24x = 1,606.98 × 699.40
  4. Step 4: Simplify right side
    1,165.24x = 1,123,921.81
  5. Step 5: Solve for x
    x = 1,123,921.81/1,165.24
  6. Step 6: Final answer
    x = 964.54

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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.