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Finding the Fourth Proportional to 1,164.25, 1,606.67 and 698.65

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Solution

The fourth proportional to 1,164.25, 1,606.67 and 698.65 is: 964.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.25 : 1,606.67 = 698.65 : x
  2. Step 2: Convert to fraction form
    1,164.25/1,606.67 = 698.65/x
  3. Step 3: Cross multiply
    1,164.25x = 1,606.67 × 698.65
  4. Step 4: Simplify right side
    1,164.25x = 1,122,496.50
  5. Step 5: Solve for x
    x = 1,122,496.50/1,164.25
  6. Step 6: Final answer
    x = 964.14

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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.