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Finding the Fourth Proportional to 1,109.49, 1,664.40 and 589.36

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Solution

The fourth proportional to 1,109.49, 1,664.40 and 589.36 is: 884.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.49 : 1,664.40 = 589.36 : x
  2. Step 2: Convert to fraction form
    1,109.49/1,664.40 = 589.36/x
  3. Step 3: Cross multiply
    1,109.49x = 1,664.40 × 589.36
  4. Step 4: Simplify right side
    1,109.49x = 980,924.41
  5. Step 5: Solve for x
    x = 980,924.41/1,109.49
  6. Step 6: Final answer
    x = 884.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.