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Finding the Fourth Proportional to 1,109.09, 1,529.75 and 689.00

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Solution

The fourth proportional to 1,109.09, 1,529.75 and 689.00 is: 950.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.09 : 1,529.75 = 689.00 : x
  2. Step 2: Convert to fraction form
    1,109.09/1,529.75 = 689.00/x
  3. Step 3: Cross multiply
    1,109.09x = 1,529.75 × 689.00
  4. Step 4: Simplify right side
    1,109.09x = 1,053,986.66
  5. Step 5: Solve for x
    x = 1,053,986.66/1,109.09
  6. Step 6: Final answer
    x = 950.32

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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.